The generator matrix 1 0 0 0 1 1 1 X 0 0 0 1 1 1 1 1 X 0 1 X 1 0 1 1 0 1 X 1 0 1 X 1 1 X 1 X 1 0 1 1 1 X 0 X 1 1 1 X 1 0 1 1 0 X 1 1 1 0 1 X X X 0 0 X 1 X 0 1 X 0 1 1 0 X 1 1 X 1 1 1 X 1 0 1 1 0 X 1 X X 1 1 0 1 X 1 1 0 1 0 0 0 0 0 0 1 1 1 1 X+1 1 1 X 1 X X+1 1 1 0 0 0 X X 1 1 1 X 1 1 X 1 0 1 0 X X+1 0 0 1 1 X X+1 1 X+1 X X+1 1 X X 1 1 1 X+1 0 1 1 0 1 1 X 0 1 1 1 1 X+1 0 0 X 1 1 1 X 0 1 1 X X 1 1 0 X 0 1 1 X 0 X X 0 1 X 1 1 X 0 0 1 0 0 1 1 1 X 1 X+1 1 1 X 0 X+1 X 0 X+1 1 0 1 1 X 1 0 0 X 1 X+1 X+1 1 1 1 X 0 0 1 1 1 X 0 1 X X+1 X+1 X 1 0 0 X X+1 X 1 X X X+1 0 0 1 1 X+1 1 1 0 X+1 X+1 X X 0 X 0 X 0 X X+1 X+1 X X+1 X+1 0 X X 1 0 X+1 X+1 1 X 1 1 X+1 X+1 X 0 X+1 X 0 0 0 0 1 1 1 0 1 1 X+1 X 0 1 X+1 X X 1 1 X X 1 0 X+1 X+1 X+1 X+1 X X 1 1 0 X+1 X X+1 0 0 X X+1 0 X 0 1 X+1 1 1 1 X+1 X 1 1 1 0 X X 0 0 X+1 1 0 0 X+1 0 1 X X 1 0 1 X 1 1 0 0 0 X 1 0 X X+1 0 1 0 X 1 X+1 0 X+1 X+1 X 1 1 1 1 1 1 1 X+1 1 0 0 0 0 X 0 0 0 0 0 0 X X X X X X X 0 X 0 X X X 0 0 X 0 X X 0 X 0 0 0 X 0 0 X X X 0 X X 0 X 0 0 X X 0 0 X 0 0 X 0 X X X X X X 0 0 0 0 X 0 X 0 0 0 0 X 0 0 X 0 0 X X 0 0 X X X 0 X X X X 0 0 0 X X 0 0 0 0 0 0 X 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 0 X 0 X 0 X 0 X X 0 X 0 0 X 0 0 X X X X 0 0 X X X X 0 X 0 X X 0 0 X X 0 0 X X 0 0 0 0 X 0 0 X 0 X X 0 X 0 0 0 X X X X 0 0 0 X 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 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 0 0 X 0 X 0 X X 0 X X 0 X 0 X X X X 0 0 0 X X X X 0 0 X X X 0 X X X generates a code of length 98 over Z2[X]/(X^2) who�s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+37x^88+66x^89+97x^90+128x^91+132x^92+142x^93+136x^94+140x^95+125x^96+84x^97+103x^98+124x^99+91x^100+100x^101+84x^102+52x^103+56x^104+54x^105+41x^106+36x^107+33x^108+44x^109+32x^110+20x^111+24x^112+18x^113+13x^114+8x^115+7x^116+2x^117+4x^118+4x^119+5x^120+2x^121+2x^122+1x^124 The gray image is a linear code over GF(2) with n=196, k=11 and d=88. This code was found by Heurico 1.16 in 1.08 seconds.