The generator matrix

 1  0  0  1  1  1  6  1  0  1  1
 0  1  0  1  6  7  1  2  1  0  6
 0  0  1  1  3  2  3  2  3  6  0
 0  0  0  4  0  0  0  4  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+47x^8+168x^9+149x^10+312x^11+138x^12+152x^13+42x^14+8x^15+6x^16+1x^18

The gray image is a code over GF(2) with n=44, k=10 and d=16.
This code was found by Heurico 1.16 in 0.00341 seconds.