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 2a^2+2a+2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2a+2 1 1 1 1 2 1 1 1 1 2a^2+2a+2 1 1 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 1 1 2a 1 1 1 1 1 1 1 2a^2+2 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+2 2 a+3 3a 3a^2+2a+3 1 a+1 2a^2+1 a^2+1 a^2+3 2a^2+a+2 a^2+3a+2 2a^2+2a+1 a^2+a 3a^2+3a+1 a^2+2a+2 1 a^2+a+1 2a+1 2a^2+3a+2 3a^2+a+3 1 a^2+2a+3 2a^2 3a^2+2a+2 3a^2+2a+1 1 3a^2+a+1 3a^2+a 2a^2+a 3a^2+a+1 1 2a^2+3a+3 3a^2+a+3 2a^2+3a+1 3a^2+2a+3 3a^2+2 3a 3 2a^2+2a+3 2a+1 a+3 a 3a^2 a^2+a+1 1 3a^2+2a+2 3a^2+2 1 1 a^2+a+3 a^2+3 3a^2+a+1 3a^2+1 3a^2+2a 3a+2 2a^2+2a+3 1 a^2+3a 0 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+1 2a^2+a+1 3a^2+a+2 3a^2+3a+3 2a^2+a 2a^2+3 a^2+3 3a^2 2a^2+3a+3 2a+3 a^2+1 a+3 3a+3 2a+2 a^2+3a+2 a^2+3a+1 2a^2+3a 2a^2+3 2a^2+3a a^2+3a+2 3a^2+2a a^2+3 2a a^2+3a 2a^2+2a+2 3a^2+3a 3a^2+3a+1 2a^2 a+2 a^2+2 a+1 a^2+3a 3a^2+a 2a^2+3a+2 2a^2+3a+3 3a^2+2a+1 a^2+2a+2 3a+2 3a^2+a+2 2a+2 3a+2 3a+1 2a^2+2a+3 a 3a^2 2a^2+a 2a^2+a+2 0 3a^2+2a+3 3a^2+a 3a^2+a+3 a^2+3a a+3 a 3a^2+3 a^2+2a+1 2a^2+2a 3a^2+a+3 a^2+2a+3 0 generates a code of length 75 over GR(64,4) who´s minimum homogenous weight is 504. Homogenous weight enumerator: w(x)=1x^0+1883x^504+1064x^505+168x^506+560x^507+728x^508+1904x^509+672x^510+9072x^511+12810x^512+3472x^513+2072x^514+3528x^515+3864x^516+9464x^517+2296x^518+17192x^519+20566x^520+4984x^521+4312x^522+7392x^523+5768x^524+11200x^525+1456x^526+19040x^527+22190x^528+7616x^529+7784x^530+10024x^531+7560x^532+13272x^533+2744x^534+19208x^535+21798x^536+4368x^537+35x^544+42x^552+28x^560+7x^568 The gray image is a code over GF(8) with n=600, k=6 and d=504. This code was found by Heurico 1.16 in 16.1 seconds.