The generator matrix

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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+36x^61+330x^62+490x^63+1492x^64+1526x^65+3139x^66+2764x^67+4777x^68+3788x^69+4964x^70+2780x^71+3080x^72+1406x^73+1180x^74+340x^75+342x^76+138x^77+96x^78+18x^79+33x^80+12x^81+17x^82+8x^83+1x^84+6x^85+2x^86+2x^88

The gray image is a code over GF(2) with n=552, k=15 and d=244.
This code was found by Heurico 1.16 in 14.4 seconds.