The generator matrix

 1  0  0  0  0  1  1  1  2  1  1
 0  1  0  0  0  1  2  3  1  1  0
 0  0  1  0  0  1  3  2  7  2  0
 0  0  0  1  0  2  1  3  7  0  2
 0  0  0  0  1  4  1  0  6  3  6

generates a code of length 11 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+111x^6+474x^7+1439x^8+3870x^9+6141x^10+8708x^11+6103x^12+3900x^13+1457x^14+450x^15+104x^16+6x^17+3x^18+1x^20

The gray image is a code over GF(2) with n=44, k=15 and d=12.
This code was found by Heurico 1.11 in 0.484 seconds.