The generator matrix
1 0 0 1 1 1 2 1 1 1
0 1 0 1 6 3 1 0 0 0
0 0 1 1 3 6 1 0 0 0
0 0 0 4 0 0 0 0 4 0
0 0 0 0 4 0 0 0 4 0
0 0 0 0 0 4 0 0 4 0
0 0 0 0 0 0 4 0 4 0
0 0 0 0 0 0 0 4 4 0
generates a code of length 10 over Z8 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+68x^4+128x^5+232x^6+576x^7+1886x^8+2368x^9+5880x^10+2368x^11+1844x^12+576x^13+280x^14+128x^15+41x^16+8x^18
The gray image is a code over GF(2) with n=40, k=14 and d=8.
This code was found by Heurico 1.16 in 0.109 seconds.