The generator matrix

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

generates a code of length 10 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+98x^6+372x^7+854x^8+1808x^9+1916x^10+1816x^11+888x^12+336x^13+82x^14+20x^15+1x^16

The gray image is a code over GF(2) with n=40, k=13 and d=12.
This code was found by Heurico 1.11 in 0.0499 seconds.