The generator matrix

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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+38x^45+68x^46+200x^47+429x^48+796x^49+1221x^50+2852x^51+3232x^52+5336x^53+4498x^54+5362x^55+3163x^56+2850x^57+1300x^58+754x^59+311x^60+168x^61+63x^62+46x^63+20x^64+26x^65+15x^66+2x^67+8x^68+2x^69+2x^70+3x^72+1x^76+1x^78

The gray image is a code over GF(2) with n=432, k=15 and d=180.
This code was found by Heurico 1.16 in 10.9 seconds.