The generator matrix

 1  0  1  1  1  0  1  1  1  1
 0  1  1  0  1  1  0  4  0  0
 0  0  2  0  0  0  0  2  4  0
 0  0  0  2  0  0  0  2  2  4
 0  0  0  0  2  0  0  2  6  4
 0  0  0  0  0  2  6  0  4  0
 0  0  0  0  0  0  4  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+95x^4+130x^5+469x^6+884x^7+2873x^8+7198x^9+9517x^10+7128x^11+2845x^12+926x^13+503x^14+116x^15+74x^16+2x^17+7x^18

The gray image is a code over GF(2) with n=40, k=15 and d=8.
This code was found by Heurico 1.16 in 0.553 seconds.