The generator matrix

 1  0  1  1  1  1  1  1
 0  1  1  0  0  0  0  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+53x^2+60x^3+358x^4+460x^5+891x^6+3576x^7+5586x^8+3576x^9+891x^10+460x^11+358x^12+60x^13+53x^14+1x^16

The gray image is a code over GF(2) with n=32, k=14 and d=4.
This code was found by Heurico 1.16 in 0.062 seconds.