The generator matrix

 1  0  1  1  6  1  4  1  1  1  1 10  1 10  1  1  1  1  0  1 12  1  1  2 12  1  4  1  1  2  1  1  6 10  1  1  4  1  1  8  0  1  1  1  1  1  1  1  1  2 14  1  1  1  1  1  1 14  1 10  8  1  1  1  1  6 10  1  1
 0  1  1  6  1  7  1  4 13 11  2  1 12  1 11 14  1 12  1 13  1 14  7  1  1  3  1  9 10  1  4 10  1  1  8  7  1  1 11  1  0 15 11 10  5  6 13 12 13 14  1  0  8  3  1 12 11  1  7  1  2  3  9  2  8  1  1 11  0
 0  0  2  0  0  2 10 10  4  4 10  6  8  8 10  2  4 14 14  2  0 12 12  2 14  6  4  8  6 12 12  0  6  8  2 10 10 12  4 10  2  6  8  8  8  6  4 14  2  2  8  8  8 14  4 12  8  6 10 12 10  4  2 14 12  4 12  0  0
 0  0  0  8  0  0  8  0  8  8  0  8  8  0  0  0  8  0  8  0  8  0  0  0  0  8  8  0  8  8  0  0  0  8  8  8  8  0  0  8  8  0  8  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0  8  0  8  8  8  0  0  8  8  8
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  0  0  8  8  8  8  8  0  8  8  8  0  0  0  8  8  0  8  0  8  8  0  8  0  8  0  0  0  0  0  8  0  8  8  0  0  0  8  8  0  0  0  0  0  8  0  0  8  0  8  8  8
 0  0  0  0  0  8  8  0  8  8  0  8  0  8  8  8  0  8  0  0  8  0  8  8  0  8  0  0  8  0  8  8  0  8  0  8  0  8  8  8  8  0  0  8  0  0  0  0  8  8  0  0  8  0  0  8  0  8  0  8  0  0  8  0  0  8  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+48x^62+326x^63+483x^64+1182x^65+1084x^66+2288x^67+1505x^68+2776x^69+1525x^70+2330x^71+1045x^72+908x^73+236x^74+292x^75+154x^76+106x^77+43x^78+12x^79+7x^80+18x^81+7x^82+4x^84+2x^85+1x^90+1x^92

The gray image is a code over GF(2) with n=552, k=14 and d=248.
This code was found by Heurico 1.16 in 3.73 seconds.