The generator matrix

 1  1  1  1  1  1  1  1  2  2  2
 0  2  0  0  0  2  6  2  4  4  4
 0  0  2  0  2  2  6  0  0  4  4
 0  0  0  2  2  0  6  2  2  6  0
 0  0  0  0  4  0  0  4  0  0  4
 0  0  0  0  0  4  0  4  0  4  4
 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+116x^6+266x^8+256x^9+676x^10+1536x^11+552x^12+256x^13+348x^14+77x^16+12x^18

The gray image is a code over GF(2) with n=44, k=12 and d=12.
This code was found by Heurico 1.16 in 0.0286 seconds.