The generator matrix

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

generates a code of length 10 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+44x^4+212x^5+832x^6+2816x^7+7766x^8+13380x^9+15488x^10+13280x^11+7756x^12+2908x^13+832x^14+160x^15+49x^16+12x^17

The gray image is a code over GF(2) with n=40, k=16 and d=8.
This code was found by Heurico 1.16 in 1.66 seconds.