The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^6+208x^7+367x^8+1072x^9+724x^10+1072x^11+367x^12+208x^13+38x^14+1x^20

The gray image is a code over GF(2) with n=40, k=12 and d=12.
This code was found by Heurico 1.16 in 0.0279 seconds.