The generator matrix 1 1 1 1 1 0 2 0 0 2 0 0 2 0 2a+2 0 0 0 2 2 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+60x^12+768x^15+105x^16+60x^20 The gray image is a code over GF(4) with n=20, k=5 and d=8. This code was found by Heurico 1.16 in -3.62e-008 seconds.