The generator matrix

 1  0  1  1  1  0  1  1  1  1
 0  1  3  6  1  1  0  0  0  0
 0  0  4  0  0  0  0  0  0  4
 0  0  0  4  0  0  0  0  0  4
 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

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

Homogenous weight enumerator: w(x)=1x^0+53x^4+32x^5+48x^6+160x^7+842x^8+1856x^9+2208x^10+1856x^11+842x^12+160x^13+48x^14+32x^15+53x^16+1x^20

The gray image is a code over GF(2) with n=40, k=13 and d=8.
This code was found by Heurico 1.16 in 0.0462 seconds.