The generator matrix

 1  0  1  1  1 14  1  1  6  1  1  8  1  1 12  1  1 10  1  6  1  4  1  1 12  1  6  1  1 12  1  1  1 10  1  1  1  6  2  8  1  1  1  1  1 12  1  1  1 12  1  8  2  0  1  1  1  1  1  0  1  1  1  1  1
 0  1  1  0  7  1  2 11  1 14  5  1  0  3  1 14 14  1  9  1  5  1  8 11  1 14  1 12  6  1 14  7  3  1  4  2  7  1  1  1 13  2  4  7  7  1  2  9  8  8  1  1 14  1 15  9  4 13 10  1  9 13  1  4  1
 0  0  2  0  2  4  0  2  6  8  2 10  2  8  6 10  2  2 12  0  4  4 14  0 12  8  0 12  8  2 14 10  6  6  2  4  0 10  0  4 12  4  8 14 12  6  8 14  2 12 10  2  4  8  4  6  6  4  6 10 10 12  8  6 14
 0  0  0  2  0  0 10  6  6 12  2  6 10  8  0 12  6 12  2  2 12 14  0 10 12  2  6  8  0  6  8  4 14  8  4 10  4 14  8 10 14 10  8 14 12 14 12 10  6  2  8 12 10  6  4  0  8  8 12  2 14 10 10 10 10
 0  0  0  0  8  8  8  8  8  8  0  0  8  0  0  0  0  8  8  8  8  0  8  0  8  0  8  8  0  8  8  8  8  0  0  8  8  0  8  0  0  0  8  0  8  8  0  8  8  8  8  8  0  0  0  0  8  0  0  0  8  8  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+210x^58+524x^59+1056x^60+1752x^61+2729x^62+3800x^63+4161x^64+4656x^65+4230x^66+3740x^67+2459x^68+1588x^69+911x^70+416x^71+232x^72+120x^73+104x^74+32x^75+22x^76+12x^77+6x^78+3x^80+2x^82+1x^84+1x^88

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 13 seconds.