The generator matrix

 1  1  1  1  1  1  2  2  1  1  1
 0  2  0  0  0  2  4  0  2  2  4
 0  0  2  0  0  2  0  2  2  4  6
 0  0  0  2  0  2  0  6  4  2  4
 0  0  0  0  2  2  2  4  4  2  0
 0  0  0  0  0  4  4  4  0  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+84x^7+160x^8+372x^9+783x^10+1128x^11+844x^12+392x^13+139x^14+68x^15+51x^16+4x^17+9x^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 0.0247 seconds.