The generator matrix

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

generates a code of length 6 over Z8 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+38x^2+64x^3+223x^4+960x^5+1524x^6+960x^7+223x^8+64x^9+38x^10+1x^12

The gray image is a code over GF(2) with n=24, k=12 and d=4.
This code was found by Heurico 1.16 in 0.00493 seconds.