The generator matrix

 1  0  0  1  1  1  6  0  1  1  1
 0  1  0  1  0  1  1  0  0  0  0
 0  0  1  1  0  3  6  1  0  0  0
 0  0  0  2  6  0  6  6  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+192x^5+561x^6+1312x^7+2774x^8+5312x^9+12940x^10+19136x^11+12940x^12+5312x^13+2774x^14+1312x^15+561x^16+192x^17+108x^18+1x^22

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 1.63 seconds.