The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^5+332x^6+1314x^7+3771x^8+6488x^9+8709x^10+6620x^11+3738x^12+1280x^13+334x^14+82x^15+10x^16+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 1.11 in 0.234 seconds.