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 2 1 1 1 2a 1 1 1 1 1 0 1 1 1 1 1 1 2a^2+2a 1 1 1 1 1 1 2a^2+2a+2 1 1 1 1 1 1 1 1 2a 1 1 1 1 1 1 1 1 1 1 2a^2+2a+2 1 1 1 1 1 1 1 2a^2 1 1 1 2a^2+2a 1 2a^2+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+2 2a^2+3a+1 3a^2+a+1 3a^2+3 2a^2+3a+2 3a^2+3a a^2+1 1 2a^2+2a 2a+3 3a+1 1 2a^2+3a 3a^2+2a+3 3a^2+2a 2a^2+a a^2+3a+2 1 a^2+2a+2 a^2+a+3 a^2+3a+2 2a^2 3a^2+3a+3 a+1 1 3a^2+2 a^2+2a+3 3a^2+2a+2 3 2a^2 1 1 2a 2a^2+1 2a^2+a+3 a^2+2 a^2+3a+1 3a^2+a+1 2a^2+2a 2a^2+3a+1 1 2a^2+2a+1 a+1 a^2+a+2 3a^2+3a+1 a^2+3a+3 2a^2+3a+3 a^2+2a+1 a^2+2a+2 a^2+3a+3 0 1 a^2+a 3a^2+3a+2 3a+2 3a^2+a 2a^2+1 a^2 3a^2+3a+3 1 3a 2a^2+2 2 1 2a^2+a+3 1 2a^2+3a+2 2a^2+3 2a+1 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 a^2+3a+2 3a 3a^2+2a a^2+3a+1 3a^2+a 3a^2+3 3a+3 2a^2+3a a^2+a+2 2a^2+3 3a^2+2 a^2+a+3 2a^2+3a+3 2 3a^2+3a+1 a^2 2a^2+a+3 a+3 a^2+1 3a^2+3a+3 a^2+2a+2 a^2+3 3a+2 3a^2+a+1 a^2+3a 2a+1 a^2+2a+1 2a^2+3a+2 a^2+3a 2a^2+a+2 a^2+2a+2 2a^2+3 3a^2+a+3 3a+2 2a+2 3a+1 a^2+2a+3 a^2+2a 3a^2 3a^2+a+1 2a^2+a+3 3 1 2a^2+3 3a^2+3a+3 2a^2+a+1 3a^2+2a+1 a+2 3a+3 3a^2+1 a+2 3a^2+2a+1 a^2+2a+1 a+1 2a+1 a^2+2a+2 3a^2+1 3a^2+2a 3a 2a^2+3a+2 3a^2+a+1 3a^2+a+3 2a+2 3a^2+2a 2a^2+a+2 a^2+2a+3 a^2+a+1 2a^2+2a+2 a+1 generates a code of length 89 over GR(64,4) who´s minimum homogenous weight is 603. Homogenous weight enumerator: w(x)=1x^0+2968x^603+2912x^604+224x^606+1176x^607+2569x^608+3360x^609+6888x^610+15848x^611+12376x^612+840x^613+1624x^614+4480x^615+8736x^616+5152x^617+11368x^618+23296x^619+14112x^620+1008x^621+2352x^622+5432x^623+7805x^624+6496x^625+10808x^626+23016x^627+16184x^628+1736x^629+2968x^630+6832x^631+9954x^632+6496x^633+10360x^634+20888x^635+11760x^636+56x^640+35x^648+14x^656+7x^664+7x^672 The gray image is a code over GF(8) with n=712, k=6 and d=603. This code was found by Heurico 1.16 in 18.3 seconds.