The generator matrix

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

generates a code of length 8 over Z8 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+45x^2+12x^3+230x^4+220x^5+451x^6+792x^7+4690x^8+792x^9+451x^10+220x^11+230x^12+12x^13+45x^14+1x^16

The gray image is a code over GF(2) with n=32, k=13 and d=4.
This code was found by Heurico 1.16 in 0.0278 seconds.