The generator matrix

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

generates a code of length 11 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+100x^4+192x^5+536x^6+928x^7+1878x^8+2752x^9+5656x^10+8640x^11+5740x^12+2752x^13+1800x^14+928x^15+593x^16+192x^17+72x^18+8x^20

The gray image is a code over GF(2) with n=44, k=15 and d=8.
This code was found by Heurico 1.16 in 0.427 seconds.