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

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

Homogenous weight enumerator: w(x)=1x^0+40x^48+76x^49+100x^50+162x^51+216x^52+420x^53+690x^54+778x^55+682x^56+426x^57+203x^58+104x^59+56x^60+28x^61+18x^62+34x^63+17x^64+6x^65+12x^66+10x^67+12x^68+4x^69+1x^90

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 0.44 seconds.