The generator matrix

 1  0  0  1  1  1  2  1  1  2  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  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+76x^4+128x^5+273x^6+640x^7+1142x^8+4224x^9+4652x^10+10496x^11+4652x^12+4224x^13+1142x^14+640x^15+273x^16+128x^17+76x^18+1x^22

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 0.417 seconds.