The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  2  1  2  2  1  1  1  2  1  1  1  2  1  1  1  4  0  1  1  4  2  1  1  0  4  1  1  1  1  1  1  0  1  1  2  2  2  1  4  1  1  1  2  1  4  1  1  1  1  1
 0 12  0 12  0 12  0 12  0 12  8  4  0 12  0  8 12  4  0  8 12  4  0 12  0 12  0  0  8 12  4 12 12 12 12  0 12 12  4 12 12  0  8 12 12  4  4 12 12 12 12  0  4 12  4  8  8  8  0  0  4  8  8 12  4 12  4 12 12  4  0  4  8 12  4  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  8  0  8  0  0  8  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0  0  8  8  8  0  0  8  8  0  0  0  0  0  0  8  8  0  0  0  8  8  8  0  8  8  8  0  0  8  0  0  8  0  0  8  0  8  8  8  8  0  8  8  0  8  8  8  8
 0  0  0  8  0  0  0  0  0  0  0  8  0  8  0  0  0  8  8  8  8  8  8  8  0  0  0  8  0  8  0  0  8  0  8  0  0  0  0  8  8  0  0  8  8  0  8  0  0  0  0  8  8  8  0  8  8  8  8  0  0  8  0  8  8  8  8  8  0  8  8  0  0  8  8  0  0  8  8
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  0  8  0  0  8  0  0  0  8  0  8  8  0  8  0  0  0  0  0  0  8  8  8  8  0  8  0  0  8  8  8  8  0  0  0  8  8  0  8  0  0  8  0  8  8  0  8  0  0  8  0  8  0  0  0  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  0  8  0  8  0  0  0  8  0  0  0  8  8  8  8  0  8  0  0  8  8  8  0  8  0  0  8  8  0  8  8  0  0  0  8  0  8  8  8  0  8  0  0  0  0  0  8  8  8  8  0  8  8  8  0  0  8
 0  0  0  0  0  0  8  0  0  0  0  0  8  0  8  0  8  8  0  8  8  0  8  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  8  8  8  8  8  8  0  0  8  8  0  8  8  0  0  8  0  0  8  8  0  0  0  0  0  0  0  0  8  8  0  8  0  0  0  8  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  0  8  0  0  0  8  0  0  0  0  0  8  8  0  8  8  8  8  8  8  0  8  8  0  8  8  8  0  8  0  8  0  0  0  8  8  8  8  8  8  8  8  0  0  8  8  8  0  0  0  0  0  0  0  8  8  0  8  8  0  0  8  0  8  0  8  8
 0  0  0  0  0  0  0  0  8  0  8  0  8  0  8  8  0  0  8  0  8  8  0  8  0  0  8  8  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  0  8  8  8  0  8  0  8  0  8  8  8  0  8  0  8  8  8  0  8  0  0  0  8  0  8  0  0  8  0  0  0  0  0  8
 0  0  0  0  0  0  0  0  0  8  0  8  0  8  8  8  8  8  8  0  8  0  0  0  8  8  0  8  8  8  0  8  8  8  0  8  8  8  0  0  0  0  8  8  8  0  0  8  0  8  8  0  8  8  0  8  0  8  8  8  8  8  0  8  8  0  0  8  8  0  8  0  8  0  0  0  0  8  0

generates a code of length 79 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+45x^66+113x^68+233x^70+8x^71+401x^72+64x^73+715x^74+224x^75+1945x^76+448x^77+3748x^78+560x^79+3763x^80+448x^81+1932x^82+224x^83+690x^84+64x^85+366x^86+8x^87+187x^88+84x^90+43x^92+36x^94+14x^96+7x^98+7x^100+1x^102+1x^104+1x^106+2x^108+1x^120

The gray image is a code over GF(2) with n=632, k=14 and d=264.
This code was found by Heurico 1.16 in 11 seconds.