The generator matrix 1 0 1 0 1 2a+3 generates a code of length 3 over GR(16,4) who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+36x^6+9x^8+96x^9+108x^10+6x^12 The gray image is a code over GF(4) with n=12, k=4 and d=6. This code was found by Heurico 1.16 in -6.87e-008 seconds.