The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^58+242x^59+651x^60+1010x^61+1421x^62+1848x^63+1960x^64+2136x^65+2222x^66+1756x^67+1170x^68+910x^69+482x^70+192x^71+157x^72+68x^73+39x^74+20x^75+22x^76+4x^77+1x^78+4x^79+6x^80+2x^83+1x^84

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 3.52 seconds.