The generator matrix 1 1 1 1 1 1 0 2 0 2 0 0 0 0 2 2 0 0 generates a code of length 6 over Z4 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+3x^4+8x^6+3x^8+1x^12 The gray image is a code over GF(2) with n=12, k=4 and d=4. This code was found by Heurico 1.16 in 5.48e-005 seconds.