The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+95x^4+344x^6+2258x^8+1536x^9+9464x^10+5120x^11+9926x^12+1536x^13+1928x^14+509x^16+40x^18+11x^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 0.542 seconds.