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

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

Homogenous weight enumerator: w(x)=1x^0+93x^48+84x^49+217x^50+260x^51+434x^52+680x^53+621x^54+680x^55+400x^56+260x^57+159x^58+84x^59+79x^60+23x^62+13x^64+4x^66+3x^68+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 0.421 seconds.