The generator matrix

 1  0  0  0  1  1  1  1  1  1
 0  1  0  0  2  1  7  4  4  0
 0  0  1  0  3  1  2  1  2  0
 0  0  0  1  1  6  3  3  3  0
 0  0  0  0  4  0  0  4  0  4
 0  0  0  0  0  4  0  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+40x^5+211x^6+650x^7+1626x^8+3658x^9+4003x^10+3668x^11+1632x^12+652x^13+201x^14+34x^15+5x^16+2x^17+1x^18

The gray image is a code over GF(2) with n=40, k=14 and d=10.
This code was found by Heurico 1.16 in 0.176 seconds.