The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 2 1 1 1 1 0 1 1 1 1 1 1 2a 1 1 1 1 2a 1 1 1 2a 1 1 1 2a 0 1 2a+2 2a 1 1 1 1 1 1 1 2a+2 0 1 2 1 1 1 1 1 1 1 0 1 1 1 1 2 1 1 0 2a+2 1 1 1 1 1 1 2a 1 1 1 1 2a+2 2a 1 1 1 1 1 0 1 1 2 0 1 1 a 3a+3 0 2a+3 a+1 a 1 0 2a+3 a 1 a+1 2 a+2 a+1 1 2a+3 2a+1 a+1 a 1 0 a+1 a+2 3a+3 3a 2a+3 1 0 2 1 3a+2 1 2 3 3a+1 1 3a+3 2 1 1 1 2a+3 1 1 3a+3 2a+2 3a 3a+2 3a+1 a+2 3a+1 1 1 a+3 1 a a+1 2 3a 2 2 3 1 2a+3 3a+2 3 3a+1 1 2a+1 a+1 1 1 a+3 2a+2 0 a+1 3 3 1 3a+1 3 a+1 0 1 1 2a+2 1 0 3 2 1 3 2 1 0 0 2a+2 0 0 0 2 2 2 2 2 2 2a+2 2a+2 2a 2 2a+2 2a 0 0 2a+2 2a+2 2a+2 2a 2a+2 0 0 2 2a 2 2 2a+2 2 2 0 2a+2 2a+2 2a 2a+2 2a+2 2 0 2 2a 2a+2 2a+2 2 2a+2 2 2a+2 2 0 2 2a+2 2 2 2a+2 2 2 2a+2 2a 2a+2 2a+2 0 2 0 2a+2 2a+2 2 2 0 2a 2a+2 2a+2 2 2a 2a+2 2 2 0 2a+2 2a 2a 0 0 2a+2 2a+2 2a 2a+2 2 2a 2a+2 2 0 2a 2a+2 2 0 0 0 0 2 0 2 2a+2 0 2 2a+2 2 0 2a 2a+2 0 2a+2 0 0 2a 2a 2a 2 2a+2 2a 2a+2 2a+2 2 2a 0 0 2a 2 2a+2 0 2a+2 2a 0 2 2a+2 2 2a 0 2a+2 2a+2 2a 2 2a 2a+2 0 2 2 0 0 2a+2 2 2a+2 2a+2 2 2 2 2 2a+2 0 2 2a 2a 2a 0 0 2 2 2a 2 0 2a 0 2 2a 2 2a+2 2a 2a+2 2 2a 2a+2 2a 2a 2 2a+2 2a+2 2a 2a 2 2a 0 2a+2 2a 0 0 0 0 0 2a+2 2a+2 2 2a+2 2a 0 2a+2 2 2 2a 2 2a 2 2a 2a+2 0 2a+2 0 0 2a+2 2 0 2a 2 0 2a+2 2 2 0 2a 2a+2 0 2a+2 2 2a+2 2a 2a+2 2a 2a+2 2a+2 2a 2 2a 2 2 2a+2 2a+2 2a+2 0 2 0 2a 2a+2 2 0 2a+2 0 0 0 0 2a+2 2a+2 2 2a 0 2 2a+2 2a 0 2a+2 2a+2 2 2 2 2 2a 0 2 2 2 2 2 0 2a 0 2a+2 0 2a 0 0 2a 2a+2 0 2 generates a code of length 98 over GR(16,4) who´s minimum homogenous weight is 278. Homogenous weight enumerator: w(x)=1x^0+300x^278+315x^280+1164x^282+300x^284+1560x^286+912x^288+2148x^290+540x^292+2112x^294+795x^296+1956x^298+660x^300+1608x^302+381x^304+1020x^306+36x^308+372x^310+66x^312+48x^314+39x^320+15x^328+21x^336+9x^344+6x^352 The gray image is a code over GF(4) with n=392, k=7 and d=278. This code was found by Heurico 1.16 in 12 seconds.