The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 X 1 0 X X 1 X 1 1 0 1 1 X 1 1 0 1 X 1 X 1 0 0 0 1 0 1 0 X 1 0 1 1 0 1 X X X 1 1 1 1 1 0 1 1 1 1 X X X X X X 1 1 1 X 1 0 0 1 1 X X 1 1 X X X 1 1 1 1 X X 1 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 X 0 0 X X X X 1 1 1 1 1 1 X+1 1 1 X+1 X+1 1 X+1 1 X 1 X 1 X 1 0 1 X 1 1 1 X 0 X+1 1 X+1 1 0 0 X 1 0 0 1 X X X 0 X+1 1 1 1 0 0 1 X 1 0 1 0 X 0 X+1 0 X 1 1 0 1 1 1 X+1 X 1 X+1 X X 0 0 0 1 1 1 X+1 1 1 0 0 1 0 0 0 1 0 X 0 1 X+1 1 X+1 1 1 X 1 X+1 X+1 X X+1 0 X+1 X X 1 X+1 0 0 X 0 1 X+1 1 1 X 0 0 X+1 1 1 1 X X 1 1 0 X 1 0 X+1 X+1 1 X+1 0 0 X+1 0 X X+1 0 X+1 X X X X 0 X 0 X+1 X 1 0 0 X 0 X+1 X+1 X X+1 0 0 1 X+1 0 0 1 X 1 X X+1 0 X+1 0 X+1 1 0 0 0 1 0 1 1 X 1 1 X X X X+1 X+1 1 1 0 X 1 X+1 X+1 X+1 0 0 X 1 X+1 0 X+1 X+1 1 X+1 0 X+1 X 1 1 0 1 0 1 X+1 1 1 1 X+1 X 1 1 1 1 1 X 0 1 X X+1 0 0 0 0 X 0 X X+1 X 1 X+1 X+1 X+1 1 X+1 0 X+1 1 0 1 X+1 0 X+1 1 X 0 X X 0 1 X+1 1 X+1 0 1 X+1 0 0 1 0 0 0 0 1 1 0 1 0 1 X X+1 1 1 X 1 X+1 X+1 1 X+1 X+1 1 X X 1 X 0 X 1 0 0 0 X+1 0 0 X+1 1 X+1 0 1 X 1 1 1 X+1 0 X+1 1 X+1 0 X 0 X 0 X X X+1 X+1 0 X X+1 1 X 1 1 X 0 X 0 X+1 X X X+1 X+1 X+1 1 0 0 1 1 X 0 0 1 X X+1 1 0 0 X 1 X 0 0 1 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 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 0 X X 0 X X X X X X 0 X X X 0 0 0 X X X X 0 0 0 X X X X X 0 X X X 0 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X X X 0 X 0 0 X X 0 0 X X X 0 0 X 0 0 X X X 0 0 X X X X X 0 0 X X X X 0 X 0 0 X 0 X X X X X 0 X 0 0 X 0 X X X 0 X 0 0 0 0 X 0 X X 0 0 0 0 X 0 X 0 0 0 X X X X X generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+154x^86+332x^88+432x^90+405x^92+489x^94+401x^96+408x^98+302x^100+334x^102+242x^104+224x^106+153x^108+93x^110+66x^112+32x^114+12x^116+10x^118+6x^120 The gray image is a linear code over GF(2) with n=194, k=12 and d=86. This code was found by Heurico 1.16 in 3.95 seconds.