The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 0 2 2 1 2 0 0 1 1 0 1 1 2 1 1 1 1 1 1 1 1 0 0 1 1 2 1 1 2 0 1 2 1 1 0 1 2 1 1 2 1 1 1 1 2 2 2 2 1 1 1 2 1 1 1 2 1 1 1 1 2 0 1 0 1 2 1 0 1 1 1 1 1 1 0 1 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 1 0 2 0 0 1 1 1 0 1 1 3 3 1 1 3 2 2 2 1 3 2 0 0 0 1 1 0 0 1 2 2 1 0 2 1 3 1 1 0 2 2 0 3 3 2 1 2 1 3 0 1 0 0 3 3 1 1 0 3 3 0 1 3 1 0 1 1 2 0 2 2 0 0 2 2 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 1 1 1 0 0 0 3 0 0 1 3 3 2 1 3 1 2 3 3 2 2 3 2 1 2 3 2 3 3 3 1 2 2 1 1 0 2 2 3 1 1 3 2 2 1 2 1 0 3 1 0 2 1 1 1 3 2 1 1 2 1 1 0 3 2 1 3 0 1 3 2 0 3 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 3 0 1 1 2 1 1 0 0 3 1 3 0 2 1 0 1 1 3 2 0 1 1 1 1 1 1 0 0 0 1 0 3 2 2 3 2 0 0 3 2 0 3 1 1 2 1 2 2 2 3 1 3 3 2 3 2 1 1 2 3 1 3 0 0 1 0 1 3 2 1 3 1 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 2 0 0 2 2 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 2 2 0 2 0 0 2 2 2 0 2 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 2 0 2 0 2 2 2 0 2 0 0 0 2 2 0 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 2 2 0 0 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 0 0 2 0 0 2 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 2 2 2 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 2 2 0 2 0 2 0 2 0 2 0 0 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 0 0 2 0 0 0 2 2 0 2 0 2 2 2 2 2 2 2 0 0 0 2 2 0 0 0 2 0 0 0 2 0 0 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 2 2 0 2 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 2 0 2 2 2 2 generates a code of length 93 over Z4 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+49x^78+102x^79+213x^80+276x^81+351x^82+400x^83+509x^84+542x^85+602x^86+704x^87+747x^88+802x^89+827x^90+844x^91+851x^92+892x^93+851x^94+880x^95+776x^96+774x^97+758x^98+674x^99+593x^100+550x^101+435x^102+360x^103+295x^104+206x^105+160x^106+112x^107+89x^108+48x^109+44x^110+18x^111+14x^112+6x^113+15x^114+2x^115+6x^116+3x^118+2x^120+1x^122 The gray image is a code over GF(2) with n=186, k=14 and d=78. This code was found by Heurico 1.16 in 66.5 seconds.