The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+184x^6+658x^8+384x^9+2208x^10+1280x^11+2264x^12+384x^13+664x^14+149x^16+16x^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 0.143 seconds.