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.