The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^45+358x^46+788x^47+1299x^48+1858x^49+3198x^50+4784x^51+6907x^52+8728x^53+9630x^54+8596x^55+7247x^56+4774x^57+3095x^58+1886x^59+1085x^60+586x^61+368x^62+180x^63+66x^64+16x^65+21x^66+6x^67+2x^68+2x^69+2x^70+1x^72

The gray image is a code over GF(2) with n=432, k=16 and d=180.
This code was found by Heurico 1.16 in 53.1 seconds.