The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+86x^45+348x^46+814x^47+1320x^48+1924x^49+2918x^50+5296x^51+6359x^52+9148x^53+8752x^54+9692x^55+6601x^56+5112x^57+2835x^58+1868x^59+1157x^60+622x^61+353x^62+206x^63+46x^64+36x^65+23x^66+12x^67+4x^68+3x^70

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 55.4 seconds.