The generator matrix

 1  0  0  0  0  1  1  1
 0  1  0  0  0  2  1  4
 0  0  1  0  0  1  3  0
 0  0  0  1  0  1  2  0
 0  0  0  0  1  1  4  2

generates a code of length 8 over Z8 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+32x^3+194x^4+946x^5+3337x^6+6952x^7+9829x^8+6972x^9+3346x^10+936x^11+184x^12+34x^13+5x^14

The gray image is a code over GF(2) with n=32, k=15 and d=6.
This code was found by Heurico 1.16 in 0.287 seconds.