The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  2  1  0  1  2  1  1  1  2  1  1  1  1  1  1  8  1  2  1  1  1  2  1  1  1  2  1  8  2  1  1  4  1  0  1  1  2  1  0  1  2
 0  2  0  6  0 14 10  8  6  8  2  8  0  8  6  2  4  6  2  2  6  4  2  2 14 12  6 14 14  8 14  4  4 10 10  2  8 14  6  4  0 10 14  2  2  2  0  2  2  4 14  2  2  2  8  4 12 12  2  4  4
 0  0 12  0  0  0  0  4  4  8  4  4  8 12  4  4  4  0  8  4  0  0  8  8  8  0 12 12  0  4  0  0 12  4 12 12  8 12 12  8  4 12 12  4  4  4  0  8  4  4  4  0  0  8 12  8  4  0  4  4 12
 0  0  0 12  0  8 12  0 12  4 12 12  4 12  0  8 12  4 12  8  0 12  4  8  0  0  4 12  4  4  8 12  8  0  0 12  0  0 12  8  8  4 12  4  8  8  4  4 12 12  8  4  0 12  8  8  4 12  8  0  8
 0  0  0  0 12 12  4 12  8  0 12  4 12  8 12  0 12  4  0 12  8  8 12  4  4  0  8  4  8  8  8 12  4 12  8  4  0  0 12 12  8  0  8  4 12  0  0  8  4  4  8  0  8  0  0  8  8  4  4  8 12

generates a code of length 61 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+75x^54+190x^55+260x^56+456x^57+582x^58+826x^59+1155x^60+1164x^61+1171x^62+894x^63+555x^64+402x^65+180x^66+102x^67+61x^68+28x^69+26x^70+20x^71+14x^72+10x^73+11x^74+2x^76+4x^77+2x^78+1x^90

The gray image is a code over GF(2) with n=488, k=13 and d=216.
This code was found by Heurico 1.16 in 1.39 seconds.