The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+107x^6+474x^7+1459x^8+3870x^9+6101x^10+8708x^11+6143x^12+3900x^13+1437x^14+450x^15+108x^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 1.16 in 1.19 seconds.