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

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

Homogenous weight enumerator: w(x)=1x^0+31x^66+84x^68+8x^69+81x^70+46x^71+113x^72+114x^73+72x^74+304x^75+99x^76+656x^77+85x^78+4924x^79+60x^80+628x^81+79x^82+320x^83+56x^84+120x^85+68x^86+38x^87+47x^88+10x^89+45x^90+27x^92+33x^94+17x^96+12x^98+6x^100+5x^102+2x^104+1x^122

The gray image is a code over GF(2) with n=632, k=13 and d=264.
This code was found by Heurico 1.16 in 3.17 seconds.