The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3 a 3a^2+2 0 2a^2+3 a^2+3a+3 a^2+3a 3a^2+2a+3 2a^2+3a+1 1 2a^2+3 a^2+3a+3 a 2a^2+3a+1 3a^2+2 a+2 a^2+3a+1 a^2+3a 2a^2+3a+3 a^2+a 2a^2+3 0 2a^2+3a+3 a^2+3a+1 a^2+a+3 2a^2+3a+3 3a^2+2a+2 0 0 0 2a^2+2 0 2 2 2a+2 2 2a^2 2a+2 2a^2+2 2a^2 2a^2 0 0 2a^2 2a^2+2 2 2 2a 2a^2+2 2a+2 2a+2 2a^2+2a 0 2a^2+2a+2 2a^2+2a 2a 2a^2+2a 2a^2 2a^2+2a 2a+2 2a^2+2 2a+2 2a^2 0 0 0 0 2 2a^2+2 2a^2+2a+2 2a+2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2 2a^2+2a 2a 2a^2 2a^2+2a+2 0 2a^2+2a 2a^2+2a+2 2a 2a+2 2a+2 0 2 2a^2+2a 2a 2a^2+2a+2 2 2a^2 2a+2 2a^2+2 2a 0 2a 2 2a^2+2a 2 generates a code of length 36 over GR(64,4) who´s minimum homogenous weight is 224. Homogenous weight enumerator: w(x)=1x^0+126x^224+56x^226+1491x^232+1960x^234+896x^238+11270x^240+7224x^242+12544x^246+48601x^248+22456x^250+43904x^254+84707x^256+25648x^258+469x^264+462x^272+287x^280+42x^288 The gray image is a code over GF(8) with n=288, k=6 and d=224. This code was found by Heurico 1.16 in 7.76 seconds.