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  1  2  1  1  1  1  2  1  1  4  1  1  2  1  2  4  0  1  1  1  2  1  1  1  0  1  8  1  1  1
 0 12  0  0  0  4 12  4  8 12  8 12  0  4  8 12  0 12  4  8  0 12 12  0  0 12 12  4 12  4  0  0  8  8 12  4  8  0  4  0  8  4  0  8 12 12  0 12 12  8 12  4  8  4  4 12  8  8  4  0  0  4  0  0  0
 0  0 12  0  4  4  4  8  0  4  8  4  4  0 12  0  0 12 12 12  0  8  0  4  8 12  0  4  8  4  4  4  0  0 12  8  8 12 12  8  4  4  0  0  0  8  4  0  8 12 12  8 12 12  4  0  4 12  8  4  4 12 12 12  4
 0  0  0 12  4  0  4  4  8  0 12  4  4  4  8  0  8  8 12  0 12  4  8 12  4 12 12  4  0  0  4  0  8 12  0  8 12  4  4 12 12  8  0  4  8  8  0  8 12  4  4  8 12  8  0  4  4  0 12  0  4  0  8  4 12
 0  0  0  0  8  0  0  8  8  8  0  0  0  0  8  8  8  0  8  8  8  8  8  0  8  8  0  8  0  8  8  0  0  8  8  8  0  0  0  0  8  0  8  8  0  8  0  8  0  0  0  8  0  0  0  0  8  0  0  0  0  8  0  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  0  8  0  0  8  8  8  8  8  8  0  8  0  8  0  0  8  8  0  0  0  0  0  0  8  0  0  0  8  8  0  0  0  8  8  8  8  0  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+86x^58+4x^59+210x^60+76x^61+341x^62+368x^63+691x^64+632x^65+721x^66+388x^67+258x^68+60x^69+101x^70+8x^71+52x^72+49x^74+31x^76+14x^78+4x^80+1x^108

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 0.736 seconds.