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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+93x^64+273x^66+24x^67+358x^68+204x^69+686x^70+760x^71+1207x^72+1132x^73+1250x^74+712x^75+589x^76+196x^77+242x^78+40x^79+211x^80+4x^81+121x^82+60x^84+20x^86+8x^88+1x^116

The gray image is a code over GF(2) with n=584, k=13 and d=256.
This code was found by Heurico 1.16 in 2.31 seconds.