The generator matrix

 1  0  1  1  1  0  2  1  1
 0  1  3  6  1  1  0  0  0
 0  0  4  0  0  0  4  0  0
 0  0  0  4  0  0  4  0  0
 0  0  0  0  4  0  4  0  0
 0  0  0  0  0  4  4  0  0

generates a code of length 9 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+23x^4+32x^5+32x^6+96x^7+205x^8+256x^9+184x^10+96x^11+53x^12+32x^13+8x^14+6x^16

The gray image is a code over GF(2) with n=36, k=10 and d=8.
This code was found by Heurico 1.16 in 0.00109 seconds.