The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 1 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 a^2+3a 1 0 2a^2+3a+1 3a^2+2a+3 2a^2+3 a^2+3a+3 3a^2+2a+3 a 1 a^2+3a 0 3a^2+2 a^2+3a+3 2a^2+3a+3 2a^2+3 3a^2+2a+2 2 2a^2+3a+1 1 2a^2+3a+3 a+2 2a^2+3 3a^2+3 a^2+a a^2+3a+1 1 2a 3a^2+2a+2 a^2+3a+1 a^2+a 1 3a^2+1 2a+2 a+3 a^2+a+1 a+2 a^2+2a+2 2a^2+2a+3 3a^2+2a+2 2a a^2+a a^2+2a+2 1 2a^2+a+1 3a^2+a+3 2a^2+3a+3 0 2 a^2+3 a^2+1 3a^2+3 2a^2+3a+3 3a^2+3 2 2a^2+a+3 a^2+2 a^2+3 2a^2+2a 3a^2+2a+2 a^2+3a+1 3a^2+2a a^2+a+2 0 0 0 2a^2+2 0 2 2 2a+2 2 2a^2 2a+2 2a^2+2 2a^2 2 2a^2+2a 2a^2+2a+2 0 2a^2+2 2 2a^2+2a+2 2a 2a 2a^2+2a 2a+2 2 2a^2+2a+2 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a^2+2a 2 2a^2+2a 2a^2+2a 2a^2+2a 2 0 2a+2 2a^2 2a^2+2a 2a 2a^2+2 2a+2 2a^2+2 2 2a^2+2a 0 2a+2 0 2a 2a^2+2 0 2a^2+2a 2a+2 2a^2+2 2a^2 2a^2+2a+2 2a^2+2 2 2 2a^2+2 2a+2 2a 2a^2 2a^2 2a^2 2a^2+2a 2a+2 2a^2+2 2 2a 2a 2a+2 2a+2 2a 2a 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+2 2a^2+2a+2 2a+2 2a+2 2a^2 2a^2 2a 2a^2 2 0 2a^2+2a 2a 2 2a 2a^2+2a 2 2a^2+2 0 2a 2a^2+2 2 2a+2 2a^2 0 2a^2+2a 2a+2 2a 2a 2a^2+2a 2a^2+2a+2 2a^2 0 2a^2+2a+2 2a+2 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a 2a^2+2a 0 2a+2 2a^2+2a+2 2a^2+2a 2a^2+2 0 2a^2+2a+2 2 2a 2 2 0 2a^2 2a+2 2 2a^2 2a^2+2 2a^2+2a+2 0 2a^2 2a 2a^2+2 2a 2a^2+2 2a^2 generates a code of length 75 over GR(64,4) who´s minimum homogenous weight is 496. Homogenous weight enumerator: w(x)=1x^0+231x^496+168x^497+112x^500+112x^501+1400x^503+2009x^504+1624x^505+1120x^506+3360x^508+2464x^509+6832x^511+4200x^512+3696x^513+5600x^514+8064x^516+4480x^517+11424x^519+7315x^520+7056x^521+21280x^522+23520x^524+11872x^525+22736x^527+11137x^528+10472x^529+29344x^530+22288x^532+9744x^533+14952x^535+6937x^536+5656x^537+252x^544+231x^552+203x^560+126x^568+35x^576+70x^584+21x^592 The gray image is a code over GF(8) with n=600, k=6 and d=496. This code was found by Heurico 1.16 in 18.1 seconds.