The generator matrix

 1  0  0  0  1  1  1  2  1  1
 0  1  0  0  1  2  3  1  1  0
 0  0  1  0  1  3  2  3  7  0
 0  0  0  1  2  1  3  3  6  1

generates a code of length 10 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+48x^6+204x^7+361x^8+1080x^9+685x^10+1072x^11+422x^12+200x^13+18x^14+4x^15+1x^18

The gray image is a code over GF(2) with n=40, k=12 and d=12.
This code was found by Heurico 1.11 in 0.012 seconds.