The generator matrix

 1  0  0  0  0  1  1  1  1  1
 0  1  0  0  0  2  1  5  2  0
 0  0  1  0  0  1  3  4  2  2
 0  0  0  1  0  1  2  3  0  4
 0  0  0  0  1  1  4  2  3  6

generates a code of length 10 over Z8 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+72x^5+381x^6+1290x^7+3764x^8+6314x^9+9111x^10+6324x^11+3780x^12+1292x^13+363x^14+66x^15+7x^16+2x^17+1x^18

The gray image is a code over GF(2) with n=40, k=15 and d=10.
This code was found by Heurico 1.16 in 0.739 seconds.