The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+202x^8+192x^9+400x^10+384x^11+536x^12+192x^13+112x^14+29x^16

The gray image is a code over GF(2) with n=44, k=11 and d=16.
This code was found by Heurico 1.16 in 5.09 seconds.