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 1 1 1 1 1 1 1 1 2a^2+2a 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2a^2 1 1 2a 1 1 1 1 1 1 1 1 1 0 2 2a 1 1 1 0 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 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 a^2+3a a^2+a+3 3a^2+a 3a^2+2 3a+2 2a^2+3a+3 a^2+a+1 2a^2+a+1 1 3a^2+a+3 3a^2+3a 3a^2+2a 3a a^2+2a a a+1 2a+2 3a^2+a+1 1 2a^2+a+3 2 3a^2+2a+2 2a^2+2 a^2+2a+1 3a^2+a+1 3a^2+a+2 3a^2+2a+2 1 2a^2+3a+2 a^2+a+3 1 3a^2+2a+1 a+3 3a^2+3a+1 3a^2+2a+3 a 3a a^2+2a 3a^2+3a+3 3a^2+2 1 1 1 3 2a^2+a+2 2a^2+1 1 2a^2 a^2+3 2a^2+2a+3 2a+3 3a^2 2a^2+2a+2 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 a+3 2a^2+2a+2 3a^2+a a^2+a+2 3a^2+3a+3 a^2+2a+1 2a+2 a^2+3 3a+3 a^2+2a+2 0 2a^2+3a+2 a+3 2a^2+3a+3 3a^2+a 2a^2 3a^2+3 a^2+a+3 3a^2+a+1 2a^2+3a 3a^2+3a 2a^2+3a 2a+1 3a^2+3a+2 2a+2 3a+2 a^2+2a+3 3a^2+3a+1 3a^2+1 2a+1 a^2+3a+2 2a^2+2a+1 3 2a^2+3a+2 2a^2+1 a^2+a+1 2a^2+a+2 a^2+2 2a+3 2a^2+3a+3 2 3a^2+2a+3 2a^2 2a^2+3a+2 3a+3 2a^2+3a+3 a^2+3 a+1 2a+3 3a^2+2a 2a+1 2a^2+3a 3a^2+a+2 a^2+a+2 generates a code of length 88 over GR(64,4) who´s minimum homogenous weight is 596. Homogenous weight enumerator: w(x)=1x^0+3640x^596+3304x^597+168x^598+504x^599+1225x^600+1344x^601+1792x^602+7560x^603+17136x^604+11424x^605+1960x^606+1120x^607+3038x^608+3864x^609+4144x^610+13552x^611+24360x^612+16464x^613+3640x^614+2520x^615+5348x^616+4368x^617+4256x^618+14280x^619+25088x^620+18592x^621+4984x^622+3024x^623+5124x^624+4760x^625+4144x^626+11200x^627+22960x^628+11144x^629+28x^632+28x^640+14x^648+21x^656+14x^664+7x^680 The gray image is a code over GF(8) with n=704, k=6 and d=596. This code was found by Heurico 1.16 in 18.1 seconds.