The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2a^2+2 1 1 1 1 1 1 1 1 1 1 1 1 2a^2+2a 1 1 1 1 1 1 2a^2+2a+2 1 1 1 1 1 2a+2 1 1 1 0 1 0 1 a a^2 3a+3 a^2+3a a^2+3a+3 a^2+2a+1 2a^2+2 2a^2+3 a+2 a^2+2 1 3a^2+3a+1 2 2a^2+2a+3 a+3 3a^2+2 3a^2+3a 3a^2+3 2a^2+a+2 2a^2+3a+1 a^2+3 3a^2+3a+2 3a^2+3a+3 1 2a+3 a^2+2a+2 2a 2a^2+3a 3a+1 a^2+3a+2 1 2a^2+a+3 3a^2+a+3 0 3a^2+2a+2 a^2+a+2 1 2a^2+2a 3a+1 2a^2+3 0 0 1 a^2+2a+1 a 3a^2+3a+2 1 a^2+3a+3 2a^2+3a+1 a^2 3 a^2+a+3 2a^2+2 3a^2+2 a^2+2a+3 2a^2+2a+1 a+3 2a^2+a 3a^2+2a+1 2a 3a^2+3 a^2+3a+1 3a^2+a+2 3a a+1 a^2+3a+2 3a^2 2a^2+3a 2a^2+3 a^2+1 3a+2 a^2+2a 3a^2+3a+1 3a+1 3a^2+2a+1 3a^2+3 2 a+3 a^2+3a+3 2a^2+a+2 a^2+3a+1 a^2+a 3a^2 3a generates a code of length 44 over GR(64,4) who´s minimum homogenous weight is 290. Homogenous weight enumerator: w(x)=1x^0+1568x^290+2856x^291+280x^294+1477x^296+8960x^297+17360x^298+13328x^299+448x^301+3920x^302+4662x^304+17920x^305+30464x^306+24360x^307+7168x^308+3136x^309+13720x^310+8624x^312+30464x^313+43792x^314+27552x^315+28x^320+35x^336+7x^344+14x^352 The gray image is a code over GF(8) with n=352, k=6 and d=290. This code was found by Heurico 1.16 in 8.25 seconds.