The generator matrix

 1  0  1  1  1  0  1  1  4  2  1
 0  1  1  0  1  1  4  7  1  4  7
 0  0  2  0  0  6  0  2  4  2  0
 0  0  0  2  0  6  0  6  6  0  4
 0  0  0  0  2  6  2  6  4  4  6
 0  0  0  0  0  4  4  0  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+61x^6+116x^7+384x^8+948x^9+1583x^10+1960x^11+1644x^12+968x^13+363x^14+100x^15+51x^16+4x^17+9x^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 0.0891 seconds.