The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+156x^58+148x^59+542x^60+792x^61+1326x^62+1772x^63+2386x^64+2256x^65+2362x^66+1772x^67+1276x^68+792x^69+469x^70+148x^71+110x^72+24x^74+23x^76+12x^78+7x^80+2x^82+6x^84+1x^86+1x^92

The gray image is a code over GF(2) with n=520, k=14 and d=232.
This code was found by Heurico 1.16 in 8.19 seconds.