The generator matrix

0 1 1 6 1 1 6 6 1 4 1
1 6 6 1 1 3 2 6 0 4 0
0 0 5 3 4 7 1 6 4 1 0
0 0 0 4 7 7 5 1 2 3 1

generates a code of length 11 over Z8 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+50x^7+195x^8+488x^9+968x^10+716x^11+935x^12+488x^13+200x^14+50x^15+4x^16+1x^20

The gray image is a code over GF(2) with n=44, k=12 and d=14.
This code was found by an older version of Heurico in 0 seconds.