The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+160x^5+761x^6+2626x^7+7240x^8+13082x^9+17775x^10+13092x^11+7276x^12+2628x^13+727x^14+154x^15+11x^16+2x^17+1x^18

The gray image is a code over GF(2) with n=40, k=16 and d=10.
This code was found by Heurico 1.11 in 0.422 seconds.