The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2a^2+2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2a^2+2a+2 1 1 1 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 2a^2+a+2 3a^2+3a+1 1 3a^2+2 2a a^2+3a+1 1 a^2+2 2a^2+2a+3 2a^2+3a+1 a+1 2a^2+1 a^2+3a+2 a^2+a+1 3a 3a^2+a 3a^2+3a+2 1 2a^2+a 3a^2+2a+2 2a^2+a 3a^2+2a 3a^2+3 2a^2+2a+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 3a^2+a+2 a^2+2 a^2+2a+3 3a+1 a+2 3a^2+3a+1 a+2 a^2+2a a+3 2a^2+3a 3a^2+2a a^2+a a+1 2a^2+2a+2 2a+2 2a+1 a^2+a+2 3a^2+2a+2 2a^2+a 2a^2+a+2 a^2+2a+2 a^2+3 a^2+3a 2a^2+2 generates a code of length 36 over GR(64,4) who´s minimum homogenous weight is 234. Homogenous weight enumerator: w(x)=1x^0+1400x^234+280x^238+2016x^239+2499x^240+13328x^241+13496x^242+1792x^245+3920x^246+12096x^247+8008x^248+27104x^249+25256x^250+12544x^253+13720x^254+28896x^255+14945x^256+45584x^257+35112x^258+84x^264+35x^272+28x^280 The gray image is a code over GF(8) with n=288, k=6 and d=234. This code was found by Heurico 1.16 in 6.78 seconds.