The generator matrix

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

generates a code of length 10 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+117x^4+912x^6+512x^7+5514x^8+3584x^9+11488x^10+3584x^11+5514x^12+512x^13+912x^14+117x^16+1x^20

The gray image is a code over GF(2) with n=40, k=15 and d=8.
This code was found by Heurico 1.16 in 0.548 seconds.