Solve {cccc}{a^{2}}&{(a+1)^{2}}&{(a+2)^{2}}&{(a+3)^{2}}{b^{2}}&{(b+1)^{2}}&{(b+2)^{2}}&{(b+3)^{2}}{c^{2}}&{(c+1)^{2}}&{(d+2)^{2}}&{(c+3)^{2}}{d^2}&{(d+1)^2}&{(d+2)^2}&{(d+3)^2}

$$\left| \begin{array} { c c c c } { a ^ { 2 } } & { ( a + 1 ) ^ { 2 } } & { ( a + 2 ) ^ { 2 } } & { ( a + 3 ) ^ { 2 } } \\ { b ^ { 2 } } & { ( b + 1 ) ^ { 2 } } & { ( b + 2 ) ^ { 2 } } & { ( b + 3 ) ^ { 2 } } \\ { c ^ { 2 } } & { ( c + 1 ) ^ { 2 } } & { ( d + 2 ) ^ { 2 } } & { ( c + 3 ) ^ { 2 } } \\ { d ^ { 2 } } & { ( d + 1 ) ^ { 2 } } & { ( d + 2 ) ^ { 2 } } & { ( d + 3 ) ^ { 2 } } \end{array} \right|$$

Evaluate

$$det(\left(\begin{matrix}a^{2}&\left(a+1\right)^{2}&\left(a+2\right)^{2}&\left(a+3\right)^{2}\\b^{2}&\left(b+1\right)^{2}&\left(b+2\right)^{2}&\left(b+3\right)^{2}\\c^{2}&\left(c+1\right)^{2}&\left(d+2\right)^{2}&\left(c+3\right)^{2}\\d^{2}&\left(d+1\right)^{2}&\left(d+2\right)^{2}&\left(d+3\right)^{2}\end{matrix}\right))$$