The generator matrix 1 1 0 2a+3 generates a code of length 2 over GR(16,4) who´s minimum homogenous weight is 3. Homogenous weight enumerator: w(x)=1x^0+24x^3+6x^4+144x^6+72x^7+9x^8 The gray image is a code over GF(4) with n=8, k=4 and d=3. This code was found by Heurico 1.16 in -3.62e-008 seconds.