The generator matrix
1 1 1 1 1 1 1 1 2 1
0 2 0 0 0 2 6 2 4 0
0 0 2 0 2 2 2 4 0 0
0 0 0 2 2 4 6 2 0 0
0 0 0 0 4 4 4 0 4 4
generates a code of length 10 over Z8 who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+31x^6+64x^7+58x^8+40x^9+587x^10+120x^11+64x^12+24x^13+21x^14+8x^15+5x^16+1x^18
The gray image is a code over GF(2) with n=40, k=10 and d=12.
This code was found by Heurico 1.16 in 0.00359 seconds.