The generator matrix 1 0 0 1 1 1 0 1 0 1 a 2 0 0 1 3a+3 a 2a generates a code of length 6 over GR(16,4) who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+132x^12+96x^13+192x^15+453x^16+384x^17+1152x^18+576x^19+804x^20+288x^21+18x^24 The gray image is a code over GF(4) with n=24, k=6 and d=12. This code was found by Heurico 1.16 in 6.87e-008 seconds.