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

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

Homogenous weight enumerator: w(x)=1x^0+162x^48+8x^49+48x^50+80x^51+202x^52+760x^53+112x^54+1376x^55+145x^56+760x^57+80x^58+80x^59+192x^60+8x^61+16x^62+53x^64+6x^68+6x^72+1x^88

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 28.5 seconds.