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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  4  1  2  1  1  2  1  1  1
 0 12  0  4  0  0  4  4  8  8  4 12 12 12  0  8  0  4  8  4 12  0  0  4  4  4  0  8  8  0  4 12  0  8  8  8  0  8  0  0  4 12  8  4 12  0 12  8  0 12 12 12  8  8
 0  0 12  4  0 12 12  0  8  4  4  0  8  4  8 12  0 12 12  8  0  4  0  4  8  8  0  0  4  4  4  4  0  4  8 12  8  0 12  4  4  0  4 12  8 12 12  4  8  0  8  4  8  4
 0  0  0  8  0  0  8  0  0  0  0  8  8  0  8  8  8  8  8  8  0  8  8  0  0  8  0  8  8  0  8  0  0  0  0  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  0  8  8
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  0  8  0  0  8  8  8  8  8  8  8  0  0  8  8  0  0  0  8  0  0  8  8  8  0  8  0  0  8  0  0  8  0  0  8  0  8  0
 0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  0  8  8  0  8  8  8  0  0  0  8  8  0  0  0  0  8  0  0  0  8  0  8  8  0  0  8  0  0  0  8  8  0  0  0  8  8  0

generates a code of length 54 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+68x^48+112x^50+16x^51+122x^52+368x^53+686x^54+368x^55+132x^56+16x^57+86x^58+52x^60+10x^62+7x^64+2x^66+1x^68+1x^100

The gray image is a code over GF(2) with n=432, k=11 and d=192.
This code was found by Heurico 1.16 in 0.188 seconds.