The generator matrix 1 0 1 1 1 0 1 1 a 0 0 0 2a+2 0 2 0 0 0 2 2a generates a code of length 5 over GR(16,4) who´s minimum homogenous weight is 8. Homogenous weight enumerator: w(x)=1x^0+30x^8+48x^9+636x^12+288x^13+768x^15+1833x^16+432x^17+60x^20 The gray image is a code over GF(4) with n=20, k=6 and d=8. This code was found by Heurico 1.16 in 0.00144 seconds.