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

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

Homogenous weight enumerator: w(x)=1x^0+135x^62+8x^63+141x^64+48x^65+245x^66+248x^67+833x^68+928x^69+796x^70+248x^71+148x^72+48x^73+104x^74+8x^75+58x^76+41x^78+30x^80+19x^82+4x^84+4x^86+1x^116

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 12.5 seconds.