The generator matrix 1 0 0 1 1 1 1 0 1 0 1 2 2 0 0 0 1 1 1 3 0 0 0 0 2 0 2 0 generates a code of length 7 over Z4 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+16x^4+18x^5+16x^6+30x^7+13x^8+14x^9+16x^10+2x^11+2x^12 The gray image is a code over GF(2) with n=14, k=7 and d=4. This code was found by Heurico 1.16 in 0.000194 seconds.