The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 1 1 1 0 0 2 0 2 1 2 4 2 1 4 2 1 2 1 1 2 2 2 0 0 1 2 1 2 2 1 0 2 0 0 0 0 0 0 0 2 2 6 6 6 0 2 6 0 4 6 6 4 6 2 2 6 2 4 6 0 4 0 0 4 2 0 0 6 2 2 4 0 6 4 0 2 0 6 0 4 0 2 2 6 2 6 4 2 2 6 4 2 4 2 0 4 2 2 4 6 2 0 2 0 6 0 6 0 0 0 2 0 0 0 2 6 2 2 2 4 2 6 0 0 0 4 2 6 2 0 6 4 2 4 0 0 6 4 6 0 0 2 4 2 2 4 2 0 2 0 0 2 2 6 6 6 4 2 6 4 0 2 2 4 0 4 0 6 6 0 6 6 6 0 2 2 6 2 0 2 0 4 4 4 2 0 0 0 0 2 0 2 2 6 0 0 2 2 0 2 0 4 6 6 2 0 6 6 0 4 4 0 6 4 2 2 0 0 4 2 4 2 0 6 0 6 4 6 2 6 4 4 2 2 6 4 0 0 2 4 0 4 6 6 4 6 0 4 6 2 0 2 2 0 6 6 0 2 4 2 2 6 6 0 0 0 0 0 2 2 0 6 2 0 2 2 2 4 4 6 0 6 6 0 2 0 2 6 4 0 4 6 4 0 6 4 4 6 0 4 0 2 6 6 4 4 6 4 2 2 4 6 2 6 4 0 2 6 6 4 0 4 2 4 2 6 0 0 4 4 2 4 6 4 0 4 6 4 2 2 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 4 4 4 0 0 0 4 0 4 4 4 0 4 0 0 0 4 0 4 4 0 0 0 0 4 0 0 4 4 0 0 4 4 4 0 0 0 0 0 4 0 0 0 4 0 4 0 4 4 0 4 4 4 0 0 0 4 0 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 0 0 0 4 4 4 4 0 4 4 0 0 0 0 4 0 4 4 0 4 4 4 4 4 0 0 0 4 0 0 4 4 0 0 0 4 4 4 4 4 0 0 0 0 0 0 4 4 4 4 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 4 4 0 0 4 0 4 0 0 0 4 0 0 4 0 4 0 4 4 0 4 0 0 0 0 4 0 4 4 4 0 4 4 0 0 4 0 4 4 0 0 4 4 0 4 4 0 4 4 0 0 0 4 4 4 0 4 0 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 0 4 0 4 0 4 4 4 0 4 0 0 4 0 0 0 4 0 4 0 0 4 0 0 4 0 4 4 4 4 0 0 0 0 4 0 0 0 4 4 0 0 0 0 4 4 4 4 0 0 0 4 generates a code of length 78 over Z8 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+85x^64+108x^65+187x^66+290x^67+430x^68+508x^69+734x^70+750x^71+1010x^72+1418x^73+1655x^74+2304x^75+2644x^76+2796x^77+2854x^78+2874x^79+2547x^80+2270x^81+1937x^82+1454x^83+1039x^84+808x^85+598x^86+398x^87+340x^88+218x^89+181x^90+112x^91+78x^92+64x^93+38x^94+10x^95+17x^96+2x^97+6x^98+1x^100+2x^114 The gray image is a code over GF(2) with n=312, k=15 and d=128. This code was found by Heurico 1.16 in 78.8 seconds.