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

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

Homogenous weight enumerator: w(x)=1x^0+172x^64+216x^65+633x^66+752x^67+1338x^68+1480x^69+2574x^70+3084x^71+4094x^72+4148x^73+4087x^74+3260x^75+2518x^76+1636x^77+1143x^78+548x^79+501x^80+196x^81+199x^82+36x^83+64x^84+4x^85+56x^86+15x^88+9x^90+3x^94+1x^104

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.