The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 0 X 0 1 0 1 1 X 0 1 1 1 X 1 0 X 1 X 1 1 X 1 1 1 X 1 1 X 1 1 0 0 X 0 X 1 1 1 1 X 1 1 X 0 X 0 1 1 1 0 1 0 1 0 1 1 0 0 1 X+1 X 1 1 0 X 0 X+1 X+1 1 1 1 X 1 0 0 1 1 X 1 1 X+1 1 1 0 0 X X+1 0 1 0 0 X 1 1 1 1 X 0 1 1 0 0 1 1 X 1 X 0 0 0 0 0 1 1 1 0 1 0 1 X+1 X 1 X 1 1 0 1 X+1 0 1 0 1 1 X+1 1 X+1 X 1 0 1 X+1 X+1 X 1 X X 1 0 X X+1 X 1 1 0 1 0 X+1 1 X X+1 X+1 1 1 1 X 0 0 1 1 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 X 0 0 X 0 0 0 X X 0 X 0 X X X X X X X X 0 X X X X X 0 0 X 0 X X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 X 0 X X X X 0 0 X 0 0 0 X X 0 0 X X X X 0 X X 0 0 X X 0 X 0 0 X X X 0 X X X 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X X 0 0 X X X X X X X 0 X 0 X 0 X 0 X 0 X 0 0 0 X 0 X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X X 0 X X 0 0 0 X X X X X X 0 X 0 X 0 0 0 X 0 0 X 0 0 X X 0 0 X X 0 X X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X 0 0 X 0 0 X X 0 X 0 X 0 X X 0 0 X X 0 X X 0 X X X 0 X 0 X X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 X 0 X X X 0 0 0 0 X X 0 X 0 X X 0 0 0 X X X 0 0 X 0 0 0 X X X 0 0 0 0 0 X 0 0 X 0 X 0 0 generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+44x^50+52x^51+131x^52+152x^53+200x^54+158x^55+228x^56+248x^57+221x^58+274x^59+220x^60+272x^61+245x^62+300x^63+227x^64+240x^65+176x^66+184x^67+147x^68+88x^69+106x^70+54x^71+49x^72+24x^73+21x^74+2x^75+14x^76+9x^78+6x^80+2x^82+1x^88 The gray image is a linear code over GF(2) with n=122, k=12 and d=50. This code was found by Heurico 1.16 in 2.34 seconds.