The generator matrix

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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+110x^58+268x^59+546x^60+1364x^61+1862x^62+4056x^63+4587x^64+7756x^65+7406x^66+9944x^67+7256x^68+7924x^69+4402x^70+3968x^71+1798x^72+1220x^73+404x^74+316x^75+180x^76+40x^77+72x^78+8x^79+30x^80+16x^82+2x^84

The gray image is a code over GF(2) with n=536, k=16 and d=232.
This code was found by Heurico 1.16 in 52 seconds.