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 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 1 1 1 1 X 1 X X X 1 X 1 1 X X 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 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 X X X X X X X X X X X X X X X X X X X X X X X X X X 0 X X 0 0 X X 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 0 X X 0 0 0 X X 0 X 0 X X 0 0 0 X 0 0 X X X X 0 0 0 X 0 X X X X X X 0 0 X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 X 0 X X 0 X X X X 0 X X X 0 0 0 X 0 0 0 0 X 0 X 0 X X X 0 X 0 0 X X 0 X 0 X 0 0 X X 0 X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X 0 0 X 0 X 0 0 X X 0 X X X X X 0 0 0 X X 0 0 X 0 0 X X X X X X X X 0 X 0 X X 0 0 X X 0 X 0 0 X 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X X X 0 0 X 0 X 0 0 0 0 X X X X X X 0 0 0 0 X X 0 X X X 0 0 X 0 0 X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 X X X 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 0 X X X 0 X 0 X X X X 0 0 X 0 0 X X X 0 X X X X 0 X X 0 0 0 X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X 0 X 0 X 0 X X 0 X 0 0 X 0 0 X 0 X 0 0 X 0 X X X 0 0 X 0 X X X X X X 0 X 0 0 X 0 0 0 0 0 0 X 0 0 X X X X 0 X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X X X 0 X X 0 0 X 0 X 0 0 X X X X 0 X 0 0 0 X X X 0 0 X X X 0 X X X X X X 0 0 X X 0 X X 0 0 X 0 X 0 0 0 X 0 X X X X 0 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 X X X 0 0 0 X X X 0 0 X X X 0 0 X 0 X X 0 0 X X X 0 X 0 X X X X X 0 0 0 X X 0 0 X 0 0 X 0 0 X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 X 0 0 X 0 X 0 0 X X X X X 0 0 0 X X 0 0 0 X X 0 X X 0 X 0 X 0 X 0 0 0 X 0 X X 0 X 0 X X X X X X 0 X X 0 X 0 X 0 0 X X X X X X 0 X X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 0 0 X 0 0 X X X X 0 X 0 0 0 X 0 X 0 0 0 0 X 0 X X X 0 0 X 0 X X X X 0 X 0 0 X 0 X X 0 0 X 0 X X X X X X 0 X 0 X X 0 X X 0 X 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X X X 0 X 0 X 0 0 X X 0 X X X 0 X X X 0 0 X X X X X X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 X 0 0 X X X X X 0 0 generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+141x^68+437x^72+739x^76+1075x^80+256x^82+2012x^84+1792x^86+3471x^88+1792x^90+2051x^92+256x^94+1055x^96+750x^100+392x^104+126x^108+32x^112+5x^116+1x^160 The gray image is a linear code over GF(2) with n=176, k=14 and d=68. This code was found by Heurico 1.16 in 90.2 seconds.