The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+139x^6+376x^7+1741x^8+3104x^9+7347x^10+7376x^11+7299x^12+3104x^13+1785x^14+376x^15+110x^16+9x^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 0.945 seconds.