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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+124x^48+120x^50+80x^51+182x^52+640x^53+106x^54+1632x^55+153x^56+640x^57+78x^58+80x^59+127x^60+70x^62+41x^64+10x^66+10x^68+1x^72+1x^92

The gray image is a code over GF(2) with n=440, k=12 and d=192.
This code was found by Heurico 1.16 in 0.493 seconds.