The generator matrix

 1  0  1  1  1  0  2  2  1  1  1
 0  1  1  0  3  1  0  0  0  0  0
 0  0  2  0  2  0  2  2  0  0  0
 0  0  0  2  2  6  2  0  0  0  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+108x^4+561x^6+288x^7+2006x^8+3456x^9+5516x^10+8896x^11+5516x^12+3456x^13+2006x^14+288x^15+561x^16+108x^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 0.52 seconds.