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  2  1  1  0  1  2  1  1  1 12  1  2  1  0  2  1 12  1  0  1 12  0  1  2  1
 0  2 12  6  0  6 12 10  0  6 12 10  4 10  0  6 14  8 12 10  6 12  4  6  0  8 10  2 12  6 10  6  2 10 10 14 14  8  2  0  6 12  2 10 10  2  6  2 12  2  2  0  6  6
 0  0  8  0  0  0  0  8  0  0  8  0  0  8  8  8  8  8  0  0  0  8  0  8  8  8  8  0  0  8  8  0  0  0  8  0  8  0  8  8  0  0  0  8  8  0  8  0  8  0  8  0  0  0
 0  0  0  8  0  0  0  8  0  8  8  0  8  8  0  0  8  0  0  0  8  8  8  8  8  8  8  0  8  0  0  8  8  8  8  0  0  8  0  0  8  0  0  0  0  0  8  0  0  0  0  8  0  8
 0  0  0  0  8  0  0  8  8  0  0  8  0  0  8  0  0  8  8  0  0  8  0  0  0  8  8  0  8  0  8  8  8  8  0  8  0  8  0  8  0  8  0  0  0  8  8  0  8  0  8  8  0  0
 0  0  0  0  0  8  0  8  0  8  0  0  0  8  8  0  0  8  8  8  0  8  0  0  8  8  0  0  8  8  0  8  0  8  8  8  0  0  8  0  0  0  8  8  0  0  8  8  0  0  8  8  8  8
 0  0  0  0  0  0  8  8  8  0  8  8  0  0  0  8  8  8  8  8  8  0  8  0  0  8  8  8  0  0  0  0  0  8  8  8  0  0  0  0  0  8  8  8  0  8  0  0  0  8  8  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+148x^48+32x^49+240x^50+192x^51+571x^52+544x^53+672x^54+544x^55+543x^56+192x^57+240x^58+32x^59+130x^60+7x^64+2x^68+5x^72+1x^84

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 0.43 seconds.