The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2a 1 1 2 1 2a 1 1 1 1 1 1 1 1 1 2a 1 1 1 1 0 1 1 0 1 1 1 1 2 1 1 1 1 1 0 1 1 1 2a 1 1 1 2 1 1 1 1 2 1 0 1 2 2a+2 1 1 2a 1 1 2a+2 1 1 2a+2 1 1 1 0 0 1 1 1 2a 1 1 1 1 0 1 0 0 2a+2 2a 2a+2 2 2 2 1 3a+2 3a+3 2a+3 1 3a+1 2a+3 a+2 a 1 2 2a+2 2a 1 a+3 3a+2 1 3a 1 a a+3 3 3 3 3a+3 1 3a+1 2a 0 a+2 3a+2 2a a+1 1 3a+3 2a+3 1 3a+1 1 a+2 2a+1 1 2 1 3a+2 a+3 0 2a+2 3a 3 a+1 1 a a+2 2a+1 2a 3a+3 3a+3 3a 0 1 3 1 a 1 1 2a+2 a+2 1 a 2a+3 1 a+3 a+2 2a+2 3a+3 3a+1 3a+1 1 1 2a 2a+3 a+2 1 2a+3 3a+2 2a+2 2a+1 0 0 1 0 0 2 2 2a+3 a a+1 2a 2 2a+2 2a+2 0 3a+3 2a+1 3a 1 3a a+2 1 2a+3 3 3a a 3 a+3 3a+2 a 2a+3 3a+3 1 2a+2 2 a+2 a+2 a+3 1 2a+3 3 a+2 3a 2a 3a+1 3a+2 2a+3 2a+1 a+3 a+1 3a+3 a+3 a+2 2a+3 3a 3a+1 3 1 3 3a 2a+1 3a+1 2a 0 1 1 1 2a 2a a 3a+1 a+2 2a+3 2a+3 2a 3a+2 a+1 1 a+2 3a+1 0 a+3 2a 3a+3 2a+2 a+2 2a 2a+3 2a+2 3a+3 2a a 3a+1 3a+2 2a+2 0 2a+1 0 0 0 0 1 1 3a+2 a+1 a+1 3a+3 a+3 3a+1 3a+1 3a+1 3a+2 3 3a 3 2 2a 3a+2 0 2a+1 a 3a a+3 a+1 2a+2 3a 3 2a+3 2 2a+3 a+3 2a+2 0 a+2 3 1 1 1 a+2 2a+3 3a 2a+3 2a+2 2 3 a+3 2 3a+1 3a+1 2a 3a+2 0 a 1 2 3a+3 0 3a+3 2a+3 3a+1 2 3a 3a+2 3a+2 3a+3 a+2 2a+1 3 2a 2a+1 a+1 a+3 a 0 2a+2 a a+3 2a+1 0 3a a 3a+3 1 2a+2 3a+3 3a+2 3a+3 3a+1 2a+3 a 2a 2a+1 3a+1 2 3a 2a+2 generates a code of length 98 over GR(16,4) who´s minimum homogenous weight is 277. Homogenous weight enumerator: w(x)=1x^0+552x^277+624x^278+864x^279+1026x^280+1728x^281+1464x^282+1824x^283+1416x^284+2352x^285+2400x^286+2580x^287+1650x^288+2988x^289+2724x^290+2568x^291+2028x^292+3324x^293+2772x^294+2796x^295+1704x^296+3132x^297+2688x^298+2652x^299+1623x^300+2640x^301+1992x^302+1776x^303+1191x^304+1884x^305+1452x^306+1224x^307+786x^308+876x^309+540x^310+516x^311+252x^312+444x^313+216x^314+84x^315+99x^316+48x^317+24x^318+12x^319 The gray image is a code over GF(4) with n=392, k=8 and d=277. This code was found by Heurico 1.16 in 105 seconds.