The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+148x^6+296x^7+862x^8+1728x^9+2056x^10+1808x^11+912x^12+256x^13+100x^14+8x^15+17x^16

The gray image is a code over GF(2) with n=40, k=13 and d=12.
This code was found by Heurico 1.16 in 11.2 seconds.