The generator matrix

 1  0  0  1  1  1  6  0  1  1
 0  1  0  1  0  1  1  0  0  0
 0  0  1  1  0  3  6  1  0  0
 0  0  0  2  6  0  6  6  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+192x^5+912x^6+2496x^7+5514x^8+13696x^9+19680x^10+13696x^11+5514x^12+2496x^13+912x^14+192x^15+117x^16+1x^20

The gray image is a code over GF(2) with n=40, k=16 and d=8.
This code was found by Heurico 1.16 in 1.67 seconds.