The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  8  1  1 14  1  1  4  2  1  1  1  1  1  0  1  1  6  1  1  1 10 12  1  4  1  2  1  1  1  8  1  6  2  1  1  1  2  1  2  4 12 12  1 10  1  2  8  1  1  1  1  1  1  1  2 12  1  1  1
 0  1 11  6 13  1 12  3  1 10  1  5 15  1  8  1  1 14  7  1  1  4 13  2  9  2  1  3  8  1  4 15  6  1  1  5  1  8  1 15  9 11  1 14  1  1  0  0 10  1 12  1  1  1  1  8  1 13  1  1  0 15  5 15  6  4  3  0  1  4 14  0
 0  0 12  0  4  0  0  8  0  8  0  0  8 12 12  4 12 12 12  4 12  4 12  4  8  4  8  8  4  8 12  0  0  0  0  8  4  0 12  8  8 12 12 12  0 12  0  8  8 12  0 12  4 12  8  8  4  4  0 12  0  0  0  8  8 12  0 12 12 12  4  0
 0  0  0  8  0  0  0  8  8  8  8  8  8  8  0  8  0  8  0  8  0  8  8  8  0  8  0  0  8  8  0  8  0  0  0  8  8  8  0  0  8  8  0  0  8  8  8  0  8  8  0  8  8  0  8  8  8  8  0  8  0  8  0  8  0  8  8  0  8  8  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  0  8  8  8  8  8  8  8  8  8  8  8  8  8  0  8  8  8  0  8  8  8  0  8  8  8  0  8  0  0  0  8  8  8  8  0  8  8  0  8  8  0  8  8  8  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  8  8  8  0  8  8  8  0  0  0  0  8  8  0  8  0  8  8  8  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  0  8  0  0  0
 0  0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  0  0  8  8  0  0  0  0  8  8  8  0  0  0  8  8  8  8  0  8  0  0  0  8  8  8  8  0  8  8  8  0  8  0  8  0  0  0  8  0  0  0  8  8  8  8  0  8  0  8  0  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+54x^64+156x^65+241x^66+686x^67+758x^68+1236x^69+1821x^70+2030x^71+2511x^72+2064x^73+1814x^74+1210x^75+721x^76+612x^77+184x^78+170x^79+33x^80+16x^81+17x^82+8x^84+8x^85+10x^86+9x^88+4x^89+8x^90+1x^92+1x^102

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 4.35 seconds.