The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^59+226x^60+650x^61+974x^62+2040x^63+2139x^64+4402x^65+3339x^66+5298x^67+3438x^68+4364x^69+2053x^70+1950x^71+837x^72+528x^73+203x^74+120x^75+70x^76+34x^77+16x^78+10x^79+6x^80+6x^81+1x^82+4x^83+2x^84+5x^86+1x^88+1x^90

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 13.7 seconds.