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

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

Homogenous weight enumerator: w(x)=1x^0+56x^58+26x^59+164x^60+228x^61+207x^62+494x^63+487x^64+808x^65+469x^66+486x^67+192x^68+244x^69+150x^70+18x^71+44x^72+10x^74+4x^76+2x^78+4x^80+1x^82+1x^110

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 0.56 seconds.