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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+58x^47+88x^48+102x^49+99x^50+228x^51+320x^52+902x^53+551x^54+908x^55+309x^56+210x^57+74x^58+84x^59+47x^60+34x^61+41x^62+34x^63+2x^64+2x^66+1x^68+1x^90

The gray image is a code over GF(2) with n=432, k=12 and d=188.
This code was found by Heurico 1.16 in 0.553 seconds.