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 X 0 X 0 1 1 1 1 1 X 0 X X 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 X 1 1 1 1 1 1 0 X 1 1 1 0 2 0 1 1 1 0 X 1 1 1 1 2 1 1 0 1 X 0 1 1 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X 2 X 2 0 X+2 2 2 X+2 0 0 2 X+2 X X X X+2 X X+2 X X+2 X+2 0 0 X+2 X+2 X X+2 X+2 0 0 2 X+2 0 X X+2 0 X+2 X+2 0 X X X+2 X X+2 X+2 X X X 0 2 X X+2 0 X+2 X X X X X+2 2 X X 2 2 2 0 X X X+2 0 X X+2 X+2 X 2 X+2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 0 0 0 0 2 0 2 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 0 2 0 0 0 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 0 0 2 2 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 0 0 2 2 2 0 2 2 0 2 0 2 0 0 0 2 0 2 2 0 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 2 0 0 0 0 0 2 2 0 2 0 2 0 2 0 2 0 2 2 2 0 2 2 2 0 2 2 2 2 2 2 0 0 2 0 2 2 2 2 0 0 0 0 2 0 2 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 0 2 0 0 0 2 0 0 2 2 2 2 2 0 0 0 0 2 2 0 0 0 2 2 0 2 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 0 0 2 0 2 0 2 0 2 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 2 2 0 0 2 0 2 2 2 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 0 2 0 0 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 2 0 2 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 0 2 0 2 2 0 2 2 2 0 2 0 0 0 2 2 0 0 2 0 0 2 2 0 0 0 2 0 2 0 0 2 0 2 0 0 2 2 0 2 2 0 0 2 0 2 2 0 0 0 2 2 2 generates a code of length 95 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+57x^82+22x^83+132x^84+84x^85+177x^86+132x^87+285x^88+218x^89+361x^90+450x^91+473x^92+722x^93+626x^94+840x^95+596x^96+708x^97+467x^98+458x^99+327x^100+248x^101+232x^102+116x^103+147x^104+66x^105+79x^106+30x^107+44x^108+2x^109+30x^110+24x^112+11x^114+15x^116+7x^118+2x^120+1x^124+1x^128+1x^146 The gray image is a code over GF(2) with n=380, k=13 and d=164. This code was found by Heurico 1.16 in 32 seconds.