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

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

Homogenous weight enumerator: w(x)=1x^0+181x^64+228x^65+672x^66+596x^67+1580x^68+1432x^69+2704x^70+2680x^71+4647x^72+3440x^73+4664x^74+2760x^75+2885x^76+1360x^77+1214x^78+568x^79+533x^80+188x^81+208x^82+52x^83+98x^84+8x^85+38x^86+22x^88+4x^90+4x^92+1x^100

The gray image is a code over GF(2) with n=584, k=15 and d=256.
This code was found by Heurico 1.16 in 23.4 seconds.