The generator matrix

 1  0  0  0  1  1  2  4  4  1  2
 0  1  0  0  1  0  6  1  2  1  4
 0  0  1  0  2  4  1  4  1  2  1
 0  0  0  1  2  6  3  1  0  4  3

generates a code of length 11 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+402x^8+320x^9+768x^10+896x^11+1144x^12+320x^13+192x^14+53x^16

The gray image is a code over GF(2) with n=44, k=12 and d=16.
This code was found by Heurico 1.11 in 288 seconds.