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  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1
 0  8  0  0  0  0  0  0  0  8  8  8  0  8  0  0  8  0  8  8  0  0  0  0  0  8  0  8  0  8  8  0  8  0  0  8  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  8  8  0  8
 0  0  8  0  0  0  0  0  8  8  8  8  0  0  0  8  0  8  8  0  0  0  0  0  0  0  8  8  8  8  0  8  0  8  0  8  0  0  0  8  0  0  8  8  8  8  0  0  0  8  0  8  8  8  0
 0  0  0  8  0  0  0  0  8  0  0  8  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  8  0  8  0  8  8  8  0  8  0  8  0  8  0  0  8  0  0  8  8  0  8  8  0  0  0
 0  0  0  0  8  0  0  0  8  0  8  8  8  0  0  8  8  0  0  8  8  8  8  8  0  0  0  8  0  8  0  0  0  0  0  8  8  0  0  8  0  8  8  8  0  0  8  0  8  8  8  8  8  0  0
 0  0  0  0  0  8  0  0  8  0  8  0  0  8  8  8  0  0  8  8  0  0  0  8  8  8  8  0  0  8  0  8  8  0  0  8  8  8  0  0  0  8  0  8  8  0  0  0  0  0  8  0  8  0  8
 0  0  0  0  0  0  8  0  8  8  0  0  0  8  8  0  8  8  8  0  0  0  8  8  0  0  0  0  0  0  8  8  0  8  8  8  0  0  8  8  0  8  8  8  8  0  8  8  8  8  0  0  8  0  0
 0  0  0  0  0  0  0  8  8  8  0  8  8  0  8  0  0  0  8  8  0  8  8  0  0  0  0  0  8  8  0  8  8  0  0  0  8  8  8  8  8  0  0  0  8  8  0  0  0  0  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+67x^48+94x^52+96x^54+1536x^55+139x^56+32x^58+40x^60+32x^64+10x^68+1x^104

The gray image is a code over GF(2) with n=440, k=11 and d=192.
This code was found by Heurico 1.16 in 0.184 seconds.