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 1 1 X^2 0 X X^2 X X X 0 0 1 X X^2 0 1 X^2 X 1 1 X^2 1 1 0 X 1 1 1 X^2 1 X^2 X 1 0 1 1 0 X 1 1 X X X^2 X 1 1 1 1 1 1 0 X 0 0 0 X X^2+X X 0 X^2 X^2 X X^2+X 0 X^2+X X X^2 X X^2+X X^2 X X^2 0 X^2+X X^2+X X^2 0 X 0 X 0 X X^2 X^2 X^2 X^2 0 X^2+X X X X 0 X^2+X X^2+X X^2 X X X X^2+X 0 0 X^2+X X X^2 X 0 X^2 0 0 X^2 X X^2 X X^2 X X^2+X 0 X^2 X X 0 0 0 X X X 0 X 0 0 X X X X 0 X X X X^2 0 X^2 X^2+X X^2 X^2 0 0 X 0 X X X^2+X 0 0 0 X X^2 X X^2+X X^2 X^2+X 0 0 X^2+X 0 X X^2+X X X^2 X^2+X X^2+X 0 0 X X X X^2 X^2 0 X^2 X^2+X X^2+X 0 0 X^2+X X^2+X X X^2+X X^2+X X^2+X X^2+X X^2+X X X^2+X X X^2+X X^2 X^2+X X 0 0 X^2+X X X X^2 0 X X X^2 X 0 X^2+X X 0 X^2 X X X^2 X^2+X X^2+X X^2 X^2+X 0 X^2 0 0 X^2 X^2+X X^2+X X^2 0 X^2 0 X X X^2+X X^2+X X^2+X X^2+X 0 0 0 X X 0 X^2+X X 0 X 0 X X^2+X X^2+X X^2 X^2 0 X^2 X X 0 0 X X^2+X X^2 X^2+X 0 X^2+X X^2 X X^2 0 X^2+X X X^2+X X^2 X X^2 X^2 X^2+X X^2+X X^2 X^2+X 0 0 0 0 X^2+X X^2+X X^2+X 0 X^2 0 0 0 X^2 X X 0 X^2 X X^2+X X^2 0 X^2+X X X X^2 X X^2 X^2 X^2 X X^2 X^2+X X 0 X 0 X^2 X^2+X 0 X^2 0 X^2+X X^2 0 X^2+X X^2+X X X X X X 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 0 0 0 X^2 X^2 generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+62x^81+155x^82+190x^83+265x^84+314x^85+457x^86+472x^87+654x^88+766x^89+831x^90+996x^91+1092x^92+1344x^93+1265x^94+1296x^95+1249x^96+996x^97+869x^98+780x^99+558x^100+416x^101+363x^102+276x^103+177x^104+154x^105+93x^106+64x^107+84x^108+36x^109+54x^110+20x^111+13x^112+6x^113+4x^114+2x^115+1x^116+2x^117+3x^118+1x^120+1x^126+1x^128+1x^134 The gray image is a linear code over GF(2) with n=376, k=14 and d=162. This code was found by Heurico 1.16 in 36.8 seconds.