The generator matrix

 1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  2  6  2  0  0
 0  0  2  0  2  2  6  0  0  0
 0  0  0  2  2  0  6  2  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  0

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

Homogenous weight enumerator: w(x)=1x^0+77x^4+224x^6+434x^8+2624x^10+434x^12+224x^14+77x^16+1x^20

The gray image is a code over GF(2) with n=40, k=12 and d=8.
This code was found by Heurico 1.16 in 0.011 seconds.