The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  0 10  1  1  1  1  1  1  1  1  1  1 12  1  1  1  1  1  1  1  0  1  1  1  1  6  0  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  6  1  1 12  3  5 10  0  0 10  0  6  8  1  9  6 14 12  0  8  5  1 10 12  2  3  1  1  3  0
 0  0  8  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0  8  8  8  0  8  0  0  8  0  0  8  8  8  8  8  8  8  0  0  0  0  0  8  0  8  8  8  0  8  8  0  0  0
 0  0  0  8  0  0  8  8  0  8  0  8  0  8  8  8  0  0  0  0  8  0  0  8  8  0  0  8  8  8  0  8  0  8  8  0  0  8  0  8  0  8  0  8  8  0  0  8  0  0  8  0  8  0
 0  0  0  0  8  0  8  0  8  8  8  8  0  8  0  0  8  0  8  0  0  8  0  0  8  8  8  0  0  0  8  0  8  8  8  8  0  0  0  8  8  8  8  0  0  0  0  0  0  8  8  0  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0  8  0  8  8  0  8  8  0  8  8  0  8  0  8  0  0  8  0  8  0  0  0  8  0  8  8  0  8  0  8  8  0  8  8  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+21x^48+72x^49+274x^50+360x^51+270x^52+720x^53+674x^54+720x^55+258x^56+360x^57+264x^58+72x^59+22x^60+2x^62+2x^64+2x^66+2x^80

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 0.232 seconds.