The generator matrix

 1  0  0  1  1  1  2  1  1  1  1
 0  1  0  1  6  3  1  0  0  0  0
 0  0  1  1  3  6  1  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+128x^5+344x^6+768x^7+2258x^8+7552x^9+9464x^10+24064x^11+9926x^12+7552x^13+1928x^14+768x^15+509x^16+128x^17+40x^18+11x^20

The gray image is a code over GF(2) with n=44, k=16 and d=8.
This code was found by Heurico 1.16 in 1.62 seconds.