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

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

Homogenous weight enumerator: w(x)=1x^0+106x^64+294x^65+560x^66+938x^67+1277x^68+1878x^69+2506x^70+3250x^71+3857x^72+3914x^73+3758x^74+3098x^75+2434x^76+1828x^77+1182x^78+690x^79+443x^80+342x^81+161x^82+116x^83+69x^84+30x^85+20x^86+4x^87+5x^88+2x^89+4x^90+1x^98

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 21.3 seconds.