The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+16x^3+68x^4+144x^5+224x^6+352x^7+2486x^8+352x^9+224x^10+144x^11+68x^12+16x^13+1x^16

The gray image is a code over GF(2) with n=32, k=12 and d=6.
This code was found by Heurico 1.16 in 0.00791 seconds.