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  1  2  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  2  1  1  4  1  1  1  4  1  1  1  1  1  4  1  1  2  1  1  1  1  1  1
 0 12  0  0  0  0  0  0  0  4 12 12  4 12  4 12  8 12  8 12  0  8 12  8  4 12 12  8  4  4 12  8  0 12  0  8  8  8  0  4  0 12  0  4  0 12  8 12  8  0  8 12  8  0  8  4  4 12  4  0  0 12  4  4 12
 0  0 12  0  0  8 12 12  4  4  4  8  4 12  0  8  0  8  0  4  4  4  4  4 12  8  0 12 12  0  8 12  8  0  0  8  8 12  0  0  8  4  0  0 12  8  8 12  4  8 12  0 12  4  0 12  0  4 12  8  8 12  0  0 12
 0  0  0 12  0 12 12  4  8  0  0  0  4 12  4  4  8 12  4  4  8  8  4  4  0  0  8  4  0  8  4 12  4  0  0  4  8 12  4 12  0  0  8  4  4  8  4  4  0  8  8 12  4  0  8  8  8 12  0  4  0  4  8  0  0
 0  0  0  0 12  4  8  4  4  0  4  4  4  0  8 12 12  8  8  4  8 12  0 12  4  8 12  0  0  0  4  8  4  4  8 12  0 12 12 12 12  0  4 12  0  0  8 12  0 12  8 12 12 12  4  8  8  8  8  0  0  0  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+96x^58+178x^60+32x^61+258x^62+320x^63+796x^64+832x^65+794x^66+320x^67+208x^68+32x^69+86x^70+53x^72+38x^74+41x^76+8x^78+2x^80+1x^116

The gray image is a code over GF(2) with n=520, k=12 and d=232.
This code was found by Heurico 1.16 in 0.703 seconds.