The generator matrix

 1  0  0  0  1  1  1  0  1  1
 0  1  0  0  2  1  3  1  0  0
 0  0  1  0  3  1  6  1  0  0
 0  0  0  1  1  6  3  1  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+109x^4+480x^5+736x^6+2400x^7+2194x^8+7360x^9+6208x^10+7360x^11+2194x^12+2400x^13+736x^14+480x^15+109x^16+1x^20

The gray image is a code over GF(2) with n=40, k=15 and d=8.
This code was found by Heurico 1.16 in 0.384 seconds.