The generator matrix

 1  1  1  1  2  2  2  1  1  2  1
 0  2  0  2  0  2  2  0  0  0  0
 0  0  2  2  2  2  0  0  0  0  0
 0  0  0  4  0  0  0  0  0  4  0
 0  0  0  0  4  0  0  0  0  4  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

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

Homogenous weight enumerator: w(x)=1x^0+60x^4+129x^6+128x^7+390x^8+1280x^9+444x^10+3328x^11+444x^12+1280x^13+390x^14+128x^15+129x^16+60x^18+1x^22

The gray image is a code over GF(2) with n=44, k=13 and d=8.
This code was found by Heurico 1.16 in 0.0503 seconds.