The generator matrix

 1  0  0  1  1  1  0  2  0  1
 0  1  0  1  0  1  1  1  1  0
 0  0  1  1  3  2  0  1  2  0
 0  0  0  2  2  4  6  0  2  0

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

Homogenous weight enumerator: w(x)=1x^0+44x^6+94x^7+245x^8+420x^9+449x^10+416x^11+234x^12+92x^13+50x^14+2x^15+1x^18

The gray image is a code over GF(2) with n=40, k=11 and d=12.
This code was found by Heurico 1.11 in 0.00348 seconds.