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

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

Homogenous weight enumerator: w(x)=1x^0+92x^64+316x^65+547x^66+1010x^67+1171x^68+2062x^69+2368x^70+3466x^71+3198x^72+4426x^73+3524x^74+3420x^75+2261x^76+1830x^77+964x^78+946x^79+473x^80+308x^81+171x^82+96x^83+62x^84+32x^85+9x^86+4x^87+6x^88+2x^89+2x^91+1x^94

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 21.6 seconds.