The generator matrix

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

generates a code of length 10 over Z8 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+34x^2+253x^4+888x^6+512x^7+1794x^8+7680x^9+10444x^10+7680x^11+1794x^12+512x^13+888x^14+253x^16+34x^18+1x^20

The gray image is a code over GF(2) with n=40, k=15 and d=4.
This code was found by Heurico 1.16 in 0.378 seconds.