The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^6+144x^7+150x^8+1536x^9+310x^10+3808x^11+336x^12+1536x^13+150x^14+144x^15+25x^16+10x^18

The gray image is a code over GF(2) with n=44, k=13 and d=12.
This code was found by Heurico 1.16 in 0.0656 seconds.