The generator matrix

 1  0  0  0  0  1  1  1  1  1  2
 0  1  0  0  0  0  1  7  2  7  4
 0  0  1  0  0  3  3  2  1  1  1
 0  0  0  1  0  1  2  3  2  1  0
 0  0  0  0  1  1  4  0  5  2  1
 0  0  0  0  0  4  0  4  4  0  0

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

Homogenous weight enumerator: w(x)=1x^0+243x^6+896x^7+2912x^8+7504x^9+13333x^10+15872x^11+13020x^12+7712x^13+3021x^14+768x^15+227x^16+16x^17+11x^18

The gray image is a code over GF(2) with n=44, k=16 and d=12.
This code was found by Heurico 1.16 in 4.42 seconds.