The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^6+352x^7+896x^8+1808x^9+1840x^10+1872x^11+908x^12+304x^13+92x^14+16x^15+3x^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 0.0959 seconds.