The generator matrix

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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+50x^64+336x^65+461x^66+504x^67+547x^68+476x^69+498x^70+384x^71+414x^72+292x^73+54x^74+40x^75+9x^76+8x^77+6x^78+2x^80+4x^81+3x^82+4x^85+1x^88+2x^90

The gray image is a code over GF(2) with n=552, k=12 and d=256.
This code was found by Heurico 1.16 in 0.515 seconds.