The generator matrix 1 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 1 0 0 0 2 0 0 0 1 0 0 2 0 0 0 0 1 0 2 0 0 0 0 0 1 2 generates a code of length 7 over Z4 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+47x^2+40x^3+301x^4+480x^5+675x^6+1008x^7+675x^8+480x^9+301x^10+40x^11+47x^12+1x^14 The gray image is a code over GF(2) with n=14, k=12 and d=2. This code was found by Heurico 1.16 in 0.0123 seconds.