The generator matrix 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 generates a code of length 6 over Z4 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+18x^2+111x^4+252x^6+111x^8+18x^10+1x^12 The gray image is a code over GF(2) with n=12, k=9 and d=2. This code was found by Heurico 1.16 in 0.000273 seconds.