The generator matrix 1 0 0 1 1 1 0 1 1 0 1 1 1 0 X 0 1 X 1 0 1 X 1 1 1 0 1 0 X 1 1 1 1 0 1 1 1 X 1 0 0 0 X 0 X 1 X 0 X 1 1 1 1 1 0 1 1 X 1 1 1 1 X 1 X 1 1 X 1 1 X 1 0 1 X 1 1 0 1 0 X X 1 1 0 1 0 1 1 1 X 0 0 1 X X 1 0 1 0 0 1 1 1 0 0 0 1 X+1 X 1 1 X 0 X 1 1 X+1 1 0 X X+1 1 X+1 1 X 0 X+1 1 X 1 X+1 1 X X X 1 1 1 1 X 1 1 0 1 1 X X+1 X+1 X X 1 X X+1 0 1 1 0 X 1 X 0 X X+1 1 1 X 0 X 1 X 1 X X+1 1 X X 1 X 1 0 1 0 1 X+1 X+1 1 1 0 X X 1 1 X+1 0 0 1 1 1 0 1 0 1 1 X+1 0 X 0 X+1 1 X+1 1 1 0 X 1 0 1 1 X 0 X+1 1 0 X 0 1 1 X 1 1 1 X X X X 0 1 0 1 1 X+1 1 X+1 1 0 X 0 0 X+1 X 1 1 1 X+1 0 1 X+1 1 0 X+1 X+1 X+1 1 1 1 X X 0 X+1 1 X+1 0 1 1 1 0 0 1 1 X X+1 X+1 X+1 X 1 1 1 X 1 0 0 0 0 X 0 0 0 0 0 0 X X X X X 0 0 0 0 0 X X X X X X 0 0 0 X X 0 X 0 X 0 0 X 0 X X 0 0 0 X X 0 0 X 0 0 0 X 0 0 X X 0 X X 0 X X 0 X X 0 0 0 X 0 0 0 0 0 0 X X X X X 0 X 0 0 0 0 X X X X X 0 X X X 0 0 0 0 0 X 0 0 0 0 0 X 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 X X X 0 X X 0 0 X 0 0 X X X 0 0 X X X X X X 0 0 X X X X 0 X X 0 X 0 0 0 X X X 0 X 0 0 0 X X 0 X 0 X 0 X X X X X X X 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X X X 0 0 0 X X X X X 0 X X 0 0 X X X X X 0 0 0 X X 0 X X 0 0 0 0 0 X X X X 0 X 0 0 X X 0 X 0 X X 0 X X 0 X 0 X 0 X X X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 X X X X X X X X 0 0 X X X 0 X X 0 X X X X 0 X X 0 X X X 0 0 0 0 X 0 X 0 X 0 X X 0 X X 0 0 X X 0 X 0 X X 0 0 X X 0 0 X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 0 0 X 0 0 0 X 0 0 X X 0 0 X X X 0 X 0 0 X 0 X 0 X X X 0 0 X 0 X 0 X 0 0 X 0 X 0 X X 0 X X X 0 0 X 0 X X X X 0 X X 0 0 X 0 0 0 X 0 X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 X 0 X X 0 0 X 0 0 0 X X X 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 0 0 0 X X X X 0 X 0 0 X 0 0 X X X 0 X X 0 X 0 X 0 X X X 0 X X X 0 X X X X 0 0 0 X X 0 0 X X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 X 0 0 X X X X 0 X X X 0 X 0 0 0 X X X X 0 X X 0 0 X X X X X X 0 0 0 0 X X 0 0 X X X X X X X 0 0 0 X X X 0 0 0 X X X X X 0 0 X 0 X 0 X 0 X generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+219x^84+270x^86+635x^88+632x^90+840x^92+700x^94+884x^96+806x^98+889x^100+642x^102+629x^104+396x^106+327x^108+112x^110+135x^112+22x^114+24x^116+4x^118+20x^120+5x^124 The gray image is a linear code over GF(2) with n=194, k=13 and d=84. This code was found by Heurico 1.16 in 19.1 seconds.