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

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

Homogenous weight enumerator: w(x)=1x^0+76x^45+371x^46+746x^47+1465x^48+1896x^49+3588x^50+4528x^51+7396x^52+8008x^53+9345x^54+8204x^55+7147x^56+4716x^57+3738x^58+1850x^59+1325x^60+500x^61+352x^62+152x^63+71x^64+36x^65+13x^66+6x^67+3x^68+2x^71+1x^90

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 54.4 seconds.