The generator matrix

 1  0  0  1  1  1  6  1  1  1  1
 0  1  0  1  6  3  1  4  2  0  0
 0  0  1  1  3  6  3  2  2  0  0
 0  0  0  4  0  0  4  0  0  4  0
 0  0  0  0  4  0  4  4  4  4  0
 0  0  0  0  0  4  4  0  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+60x^6+40x^7+206x^8+512x^9+496x^10+1456x^11+512x^12+512x^13+204x^14+40x^15+49x^16+8x^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 0.0146 seconds.