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  2  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  2  1  1  1  2  1  1  1  4  0  1  1  2  2  1  1  1  4  1  4  4  1  2  1  1  2  1
 0 12  0  0  0  0  0  0  0  4 12 12  4 12  4 12  8 12  8 12  0  8 12  8  4 12 12  8  4  4 12  0  8 12  0  8  8  8  0  4  0 12  0  4  4  8  4  0 12  8 12  8  4  0  8  4  4  4  8 12  0  4  4  8  4  4 12  0  4
 0  0 12  0  0  8 12 12  4  4  4  8  4 12  0  8  0  8  0  4  4  4  4  4 12  0  8 12 12  0  8  8 12  0  0  8  8 12  0  0  8  4  0  0  4  8  8 12 12  0  4  4  0  4  0 12  4 12  0  8  0 12  8 12  0  8  4 12  8
 0  0  0 12  0 12 12  4  8  0  0  0  4 12  4  4  8 12  4  4  8  8  4  4  0  8  0  4  0  8  4  4 12  0  0  8  4 12  4 12  0  0  8  4  0  4  0 12 12  8  8  4  8  4  4  8  8  8  0  8  4  8  0  8 12  8 12 12  0
 0  0  0  0 12  4  8  4  4  0  4  4  4  0  8 12 12  8  8  4  8 12  0 12  4 12  8  0  0  0  4  4  8  4  8  0 12 12 12 12 12  0  4 12  4  8  4  0 12  4  4 12  8 12  8  4  4 12  4  0  0  8  8  8  4  4  8  4  8

generates a code of length 69 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+116x^62+8x^63+198x^64+92x^65+338x^66+304x^67+674x^68+716x^69+706x^70+328x^71+246x^72+84x^73+114x^74+68x^76+4x^77+58x^78+18x^80+12x^82+10x^84+1x^112

The gray image is a code over GF(2) with n=552, k=12 and d=248.
This code was found by Heurico 1.16 in 0.751 seconds.