The generator matrix 1 0 1 1 1 1 0 1 1 2 0 0 0 0 2 0 2 0 generates a code of length 6 over Z4 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+5x^4+8x^5+5x^6+8x^7+2x^8+3x^10 The gray image is a code over GF(2) with n=12, k=5 and d=4. This code was found by Heurico 1.16 in 7.7e-005 seconds.