The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+462x^54+1040x^55+1582x^56+2048x^57+2271x^58+2284x^59+1989x^60+1772x^61+1215x^62+816x^63+540x^64+208x^65+93x^66+20x^67+15x^68+4x^69+23x^70+1x^72

The gray image is a code over GF(2) with n=472, k=14 and d=216.
This code was found by Heurico 1.16 in 5.28 seconds.