The generator matrix

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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+70x^59+201x^60+616x^61+1153x^62+1714x^63+2688x^64+3602x^65+4070x^66+4492x^67+4478x^68+3518x^69+2570x^70+1712x^71+879x^72+494x^73+243x^74+128x^75+59x^76+20x^77+18x^78+10x^79+11x^80+4x^81+7x^82+2x^83+2x^84+2x^85+3x^86+1x^88

The gray image is a code over GF(2) with n=536, k=15 and d=236.
This code was found by Heurico 1.16 in 13.8 seconds.