The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^64+86x^65+267x^66+544x^67+1031x^68+1720x^69+2755x^70+3734x^71+4140x^72+4330x^73+4112x^74+3716x^75+2718x^76+1616x^77+984x^78+498x^79+198x^80+58x^81+49x^82+42x^83+39x^84+24x^85+17x^86+8x^87+10x^88+6x^89+6x^90+2x^91+1x^96+2x^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 16.7 seconds.