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

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

Homogenous weight enumerator: w(x)=1x^0+188x^48+8x^49+232x^50+184x^51+568x^52+560x^53+680x^54+624x^55+536x^56+136x^57+166x^58+24x^59+80x^60+62x^62+33x^64+10x^66+2x^70+1x^72+1x^88

The gray image is a code over GF(2) with n=432, k=12 and d=192.
This code was found by Heurico 1.16 in 2.8 seconds.