The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 0 2 0 0 2 2 2a 2a^2 2a^2+2a 2a^2+2a+2 2a^2+2a+2 2 2a^2+2a+2 2a^2+2 0 2a 2a^2+2a+2 2a 2a^2+2a+2 2a^2+2 2a^2+2 2a^2 0 2a 2a 2a+2 2a^2+2a 2a^2+2a+2 2a^2+2a+2 2 2 2 2a 2a^2+2 2a^2+2 2 2a+2 0 2 2a+2 0 2 2a^2+2a+2 0 0 0 2 0 2a^2+2 2a^2+2a+2 2a 2a^2+2 2a^2+2 2a 2a^2+2 2a^2 2a 2a+2 2 2a^2+2a+2 2a+2 2a^2+2a 2a^2+2a 2 2a^2+2a 0 2a 2 2a 2a^2+2 0 2a+2 2 2a 2a^2+2a 2a^2 2a^2+2 2a 2a^2 0 2a^2+2a 2a^2+2a+2 0 2a^2+2a 0 2 2a^2+2 2 0 0 0 2 2 2a^2+2a 2a^2+2a 2 2a^2+2 2a^2+2a 2a^2+2 2a^2+2 2a+2 2a 2a^2+2a 2a 0 0 2a^2+2 2a^2+2a+2 2a^2+2 2a^2+2a+2 2 2a^2+2a+2 2 2 2a^2+2a+2 2a 2a^2+2 2a^2 0 2a^2+2a 2a+2 2a^2+2a 2a^2+2a+2 2a+2 2 0 2a^2 0 2a^2 2a^2+2a+2 2a^2+2a+2 2a^2+2a+2 generates a code of length 44 over GR(64,4) who´s minimum homogenous weight is 280. Homogenous weight enumerator: w(x)=1x^0+112x^280+756x^288+686x^296+3584x^301+651x^304+25088x^309+595x^312+448x^320+448x^328+245x^336+119x^344+35x^352 The gray image is a code over GF(8) with n=352, k=5 and d=280. This code was found by Heurico 1.16 in 0.434 seconds.