The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+21x^6+58x^7+94x^8+210x^9+373x^10+484x^11+440x^12+228x^13+79x^14+34x^15+9x^16+10x^17+7x^18

The gray image is a code over GF(2) with n=44, k=11 and d=12.
This code was found by Heurico 1.16 in 0.00942 seconds.