The generator matrix

 1  1  1  1  1  1  2  2  1  1
 0  2  0  0  0  0  4  6  0  6
 0  0  2  0  0  0  6  4  2  6
 0  0  0  2  0  2  2  6  6  4
 0  0  0  0  2  2  0  2  4  6
 0  0  0  0  0  4  4  0  0  4

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

Homogenous weight enumerator: w(x)=1x^0+38x^5+97x^6+144x^7+356x^8+838x^9+1135x^10+848x^11+372x^12+146x^13+79x^14+32x^15+7x^16+2x^17+1x^18

The gray image is a code over GF(2) with n=40, k=12 and d=10.
This code was found by Heurico 1.16 in 0.337 seconds.