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  0  1  1  1  1  1  1  2  1  1  1  0  1  1  1  1  1  1  1  1  1  2  1  8  1  1  1  2  1  1  1 12  2  1  1  1  1 12  4  1  8  1  2  2  8  1  1  2  0  1  1
 0  2  0  6  4  6 12  2  0  6  8 14  4  2  4 10  8  2  6 12  0  2 12 14  0 14 14 12  0 10  2  4  2 14 14  8  4  6 14  8  2  2 12 14 12  2  8 12 12 10  6  6  8  2  4  4  4 14  2  6  6  2  0  8  4 10 14  2 12  6  2  2  2 10  4  4 10 14  8  8  0
 0  0 12  0  4  0  8  0  4  4  0  4  4 12  0 12  8  4  8  0  4  0  4  4  8 12  8 12  4  4 12  8  8 12  8 12  4 12 12  0 12  8  0  0 12  0 12  8  8  8  8  8  0  0  4  4 12 12 12  4 12  4  8  0  0  8  4  8 12  0  0 12  4 12  4  8  0 12  0  0  0
 0  0  0 12  0  8  8  4  4  4  4  0 12  0  4  4 12  0  8  0 12  4  8  4  0  8 12  4  0 12 12  4  8  4  4 12  0 12  8 12  4  0  0  0  8  8  8 12  4  4  8  0  0 12 12  4  8  8  0  8 12 12 12 12 12  8 12  0  0  8  0 12  0 12  8  0 12  8  4  4  0
 0  0  0  0  8  8  8  8  0  0  0  8  8  0  8  8  0  0  8  8  8  0  0  8  0  8  8  0  8  0  8  8  0  0  8  0  0  8  0  8  0  8  0  0  8  8  0  0  0  0  0  8  8  8  0  0  0  8  8  0  0  0  8  0  8  8  0  8  0  0  0  8  8  0  8  0  8  0  8  0  0

generates a code of length 81 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+47x^74+148x^75+99x^76+376x^77+219x^78+482x^79+271x^80+806x^81+346x^82+604x^83+160x^84+242x^85+65x^86+86x^87+43x^88+42x^89+14x^90+22x^91+6x^93+8x^94+1x^96+4x^98+2x^99+1x^100+1x^130

The gray image is a code over GF(2) with n=648, k=12 and d=296.
This code was found by Heurico 1.16 in 1.07 seconds.