The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^58+500x^59+1047x^60+2164x^61+2458x^62+4258x^63+3334x^64+5294x^65+3595x^66+4228x^67+2197x^68+1876x^69+882x^70+450x^71+185x^72+126x^73+32x^74+36x^75+16x^76+12x^77+4x^78+4x^80+1x^82

The gray image is a code over GF(2) with n=520, k=15 and d=232.
This code was found by Heurico 1.16 in 10.2 seconds.