파이썬 IDE 중 하나인 pycharm을 이용하여 제작하였습니다. PyQt5 설치이후 코드를 입려하여 실행하면 실행 될 것입니다.

import sys, random
from PyQt5.QtWidgets import QApplication, QWidget, QGridLayout, QPushButton, QSizePolicy, QMessageBox
from PyQt5.QtGui import QFont
from PyQt5.QtTest import QTest
class window(QWidget):
    def __init__(self):
        super().__init__()
        self.버튼 = []
        self.앞면 = ["!","@","#","$","%","^","/","*","!","@","#","$","%","^","/","*"]
        self.cnt = 0
        self.a = 0
        self.b = 0
        btn = QPushButton('시작', self)
        btn.resize(btn.sizeHint())
        btn.move(50, 50)
        btn.clicked.connect(self.start)
        btn.clicked.connect(self.hidePzl)

    def start(self):
        for x in range(300):
            rnd = random.randint(0,15)
            self.앞면[rnd], self.앞면[0] = self.앞면[0], self.앞면[rnd]

        self.grid = QGridLayout()
        self.grid.setSpacing(15)

        fnt = QFont()
        fnt.setBold(True)
        fnt.setPixelSize(50)

        for r in range(4):
            self.버튼.append([])
            for c in range(4):
                self.버튼[r].append(QPushButton(self.앞면[r * 4 + c]))
                self.버튼[r][c].setSizePolicy(QSizePolicy.Expanding, QSizePolicy.Expanding)
                self.버튼[r][c].setFont(fnt)
                self.버튼[r][c].setToolTip(str(r * 4 + c))
                self.버튼[r][c].setToolTipDuration(1)
                self.버튼[r][c].clicked.connect(self.test)
                self.grid.addWidget(self.버튼[r][c], r, c)
        self.setLayout(self.grid)
        self.setGeometry(100, 100, 500, 500)

    def hidePzl(self):
        QTest.qWait(2000)
        for r in range(0,4):
            for c in range(0,4):
                self.버튼[r][c].setText("?")

    def test(self):
        e = self.sender()
        if e.text() != "?":
            return
        if self.cnt == 0:
            self.cnt = 1
            e.setText(self.앞면[int(e.toolTip())])
            self.a = int(e.toolTip())
        else:
            self.cnt = 0
            e.setText(self.앞면[int(e.toolTip())])
            self.b = int(e.toolTip())
            self.chk(self.a, self.b)

    def chk(self, a, b):
        if self.앞면[a] != self.앞면[b]:
            QTest.qWait(600)
            self.버튼[a // 4][a % 4].setText("?")
            self.버튼[b // 4][b % 4].setText("?")


    def closeEvent(self, QCloseEvent):
        ans = QMessageBox.question(self, "종료 확인", "종료하시겠습니까?",
                                   QMessageBox.Yes | QMessageBox.No, QMessageBox.Yes)
        if ans == QMessageBox.Yes:
            QCloseEvent.accept()
        else:
            QCloseEvent.ignore()

app = QApplication(sys.argv)
win = window()
win.show()
sys.exit(app.exec_())