The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^58+116x^59+580x^60+784x^61+1578x^62+1804x^63+2167x^64+2272x^65+2125x^66+1804x^67+1487x^68+784x^69+483x^70+116x^71+80x^72+37x^74+22x^76+19x^78+10x^80+3x^84+2x^88

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 3.88 seconds.