The generator matrix

 1  1  1  1  1  1  1  1  2  1
 0  4  0  0  0  0  0  0  4  0
 0  0  4  0  0  0  0  0  4  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  0

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

Homogenous weight enumerator: w(x)=1x^0+28x^4+8x^6+70x^8+128x^9+568x^10+128x^11+28x^12+56x^14+1x^16+8x^18

The gray image is a code over GF(2) with n=40, k=10 and d=8.
This code was found by Heurico 1.16 in 0.00132 seconds.