The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 1 X X X 1 X 1 X X 1 X 1 1 1 0 1 X 0 0 1 X 0 X 1 X 1 X 0 1 1 1 X 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 X 0 X 1 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 X X 1 0 X X 1 0 0 0 1 0 0 0 0 0 X X X+1 X+1 1 X+1 X+1 1 1 0 X 1 0 0 X 1 1 0 1 X 0 1 1 1 1 X+1 1 1 1 X X 0 1 X 1 X+1 X 0 0 1 0 X+1 1 1 1 0 X 1 1 X+1 X+1 1 0 0 X X X+1 1 X 0 X X+1 X X X+1 1 X 0 X X+1 X X X+1 1 1 0 X X+1 0 0 0 1 1 1 X+1 0 0 0 1 1 1 0 0 1 0 0 0 0 0 X 0 X 0 X 0 X 0 X X+1 X+1 1 1 1 X+1 1 X+1 1 1 1 1 X+1 1 0 1 1 X+1 X X 1 X 0 1 X X 1 0 X 1 1 1 1 X+1 X 1 0 0 1 0 X 0 1 1 1 1 X+1 1 1 X+1 0 X+1 X+1 X 1 X X+1 1 X+1 1 0 0 X+1 X+1 X X+1 X+1 X+1 X 0 0 X 0 X+1 X+1 0 1 1 X X+1 X 0 0 0 1 0 0 1 1 1 0 1 1 X+1 X 1 X X X X+1 X+1 1 X+1 X X+1 0 0 1 0 1 0 X 1 1 X 1 1 0 1 X+1 0 0 0 0 X+1 1 X+1 X+1 0 X X+1 X+1 1 1 X+1 X 0 X+1 X+1 X 0 X X X+1 1 X+1 X 1 0 1 1 0 X+1 X+1 X X 0 1 1 X+1 X 0 X X X X+1 1 X+1 1 0 X 1 0 1 0 1 X 0 X+1 0 0 0 0 1 1 X+1 0 1 X X X 1 1 1 1 1 X+1 0 0 X X+1 X 1 X X+1 1 X+1 X X+1 0 X X+1 1 1 1 X 0 0 1 1 0 1 X+1 0 1 0 X+1 1 X 1 X+1 0 X 1 0 0 X 1 1 0 1 0 0 X X+1 X 0 0 X 1 1 0 1 X 0 0 0 X+1 X X+1 X 0 X 0 X+1 X 1 X+1 0 X X X+1 X+1 X+1 0 0 1 0 0 0 0 0 X X 0 X 0 0 0 X X X X X X 0 0 0 X 0 X 0 X X X 0 X X X 0 0 0 0 X X X 0 0 X 0 0 X 0 X 0 0 X 0 0 X X X X X 0 0 0 X 0 0 X 0 X 0 X 0 0 0 X 0 0 0 0 X X 0 X X 0 X 0 0 0 0 0 X X X 0 0 X X 0 0 X generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+62x^89+145x^90+134x^91+79x^92+174x^93+212x^94+124x^95+67x^96+102x^97+157x^98+88x^99+34x^100+84x^101+116x^102+80x^103+44x^104+36x^105+61x^106+26x^107+19x^108+22x^109+52x^110+48x^111+8x^112+22x^113+19x^114+8x^115+4x^116+8x^117+4x^118+4x^119+2x^121+2x^122 The gray image is a linear code over GF(2) with n=196, k=11 and d=89. This code was found by Heurico 1.16 in 4.23 seconds.