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  2  1 12  2  0  1  2  1  2  1  1  0  8  1 12  1  1  1  2  1  0  4  8  1  1  4  2  1  1 12  1  1  1  2  2  1 12  2  1  0  2  1
 0  2  0  2  0  0 14 14  4  6  2  4 12 10 14  4  0 12  4  8 10  2 14  0  6  4  6  4  8  2 10 10  0 12  2  8 12  6 12 10 14 12  2  4  2 14 12  0 14 10  2  2  2  0 12  2 10  8 10  2  8  8  2 12  4 12  2 14  2  8  8 10
 0  0  2  2 12  6  6  4  4  0  6 10  8  4 10 10 10  4  0  6 14  0  2 10 12 10  6 14 12  8  6  8  2  2 14  0 14  8  6  2 14  2  8  0  8 10  4 14 10 10  0 14 12  8  2 14  8  6  4  2  0  4  4 10 14  2 14 10  6  2  6 10
 0  0  0  4  0  0  4  8  0  0 12  8  0  8 12  0  8  4 12  4  8 12  0  4  4  4  0  4  4 12  8 12  8  4  8  8  4  8  0  0  0 12  4  0  8  4  4 12 12 12  0  8 12 12  4  4  0  8  0  8  0 12  8 12  0 12  0  4 12  8  4 12
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  0  8  8  0  8  0  0  8  0  8  8  8  8  0  0  8  0  8  8  0  8  0  8  0  0  8  0  8  0  0  8  8  0  8  8  0  0  8  8  0  8  8  0  8  0  8  0  0
 0  0  0  0  0  8  8  8  8  8  0  8  8  0  8  0  8  0  8  8  8  0  0  0  8  8  8  0  8  0  8  8  0  8  0  0  8  8  8  0  0  0  0  0  0  0  0  0  0  0  8  8  0  0  0  8  8  0  8  0  8  0  8  0  8  8  8  0  0  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+88x^64+262x^65+428x^66+758x^67+818x^68+1474x^69+1592x^70+1802x^71+1989x^72+2260x^73+1465x^74+1162x^75+805x^76+598x^77+303x^78+256x^79+104x^80+90x^81+46x^82+20x^83+29x^84+20x^85+5x^86+2x^87+6x^88+1x^98

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 6.24 seconds.