The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+126x^58+574x^59+1088x^60+2078x^61+2504x^62+3808x^63+3904x^64+4692x^65+4230x^66+3732x^67+2418x^68+1826x^69+767x^70+536x^71+256x^72+136x^73+46x^74+16x^75+8x^76+4x^77+4x^78+4x^79+3x^80+2x^82+2x^83+2x^84+1x^86

The gray image is a code over GF(2) with n=520, k=15 and d=232.
This code was found by Heurico 1.16 in 10.3 seconds.