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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+157x^64+172x^65+416x^66+632x^67+1029x^68+1068x^69+1856x^70+1748x^71+2480x^72+1800x^73+1808x^74+988x^75+830x^76+480x^77+394x^78+204x^79+140x^80+60x^81+62x^82+12x^83+21x^84+4x^85+6x^86+13x^88+2x^90+1x^104

The gray image is a code over GF(2) with n=576, k=14 and d=256.
This code was found by Heurico 1.16 in 6.12 seconds.