The generator matrix 1 1 1 1 1 1 1 0 2 0 0 2 0 2 0 0 2 0 2a+2 2 2a+2 0 0 0 2 2 2 0 generates a code of length 7 over GR(16,4) who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+15x^12+45x^16+90x^20+768x^21+66x^24+39x^28 The gray image is a code over GF(4) with n=28, k=5 and d=12. This code was found by Heurico 1.16 in 3.24e-008 seconds.