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  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+101x^4+560x^6+1946x^8+11168x^10+1946x^12+560x^14+101x^16+1x^20

The gray image is a code over GF(2) with n=40, k=14 and d=8.
This code was found by Heurico 1.16 in 0.223 seconds.