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

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

Homogenous weight enumerator: w(x)=1x^0+32x^62+234x^63+372x^64+476x^65+692x^66+910x^67+1007x^68+1028x^69+1028x^70+776x^71+581x^72+412x^73+238x^74+148x^75+73x^76+60x^77+40x^78+38x^79+24x^80+8x^81+2x^82+6x^83+3x^84+2x^88+1x^100

The gray image is a code over GF(2) with n=552, k=13 and d=248.
This code was found by Heurico 1.16 in 1.59 seconds.