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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+62x^58+98x^59+185x^60+298x^61+431x^62+674x^63+884x^64+1482x^65+2384x^66+3402x^67+4352x^68+4490x^69+4198x^70+3372x^71+2314x^72+1632x^73+919x^74+552x^75+365x^76+238x^77+161x^78+80x^79+73x^80+46x^81+26x^82+12x^83+18x^84+6x^85+9x^86+2x^87+1x^90+1x^102

The gray image is a code over GF(2) with n=552, k=15 and d=232.
This code was found by Heurico 1.16 in 23.9 seconds.