The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 0 1 X 1 X 1 X 0 X 1 X 0 1 1 1 1 1 0 1 X 0 0 1 1 X 1 1 0 1 X 1 X 1 1 1 1 0 1 0 0 0 1 X 1 X 1 X X X X 0 X 1 1 0 1 1 1 X 1 0 1 0 X 1 X X X 1 0 1 1 X 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X X+1 0 1 1 0 1 X X 0 1 1 X X+1 0 1 X+1 1 1 0 X+1 0 X 1 1 0 1 1 0 1 X X 1 1 X+1 0 X+1 X X 0 1 0 0 X 1 1 1 X+1 1 1 1 0 1 1 0 X 0 X 1 1 X X X X X X 1 1 1 1 X 1 0 1 1 1 X 1 0 0 0 X 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 X+1 X 0 1 X+1 X+1 X 0 1 0 X X 0 0 1 1 1 1 0 X X 1 0 1 1 1 X+1 0 1 1 1 X X+1 0 1 1 X+1 0 0 1 1 1 X 1 X+1 X X+1 1 1 0 X 0 X X+1 1 X 0 X X+1 0 1 1 0 X+1 1 X+1 X 0 0 X+1 1 1 1 1 0 0 1 X X X 1 0 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X 1 X+1 X X+1 1 1 0 0 X+1 0 X 1 1 X+1 0 1 1 0 X 0 X+1 X+1 0 X+1 0 X+1 1 X X 1 1 X X+1 0 X 0 0 1 X+1 X+1 X 1 1 X X+1 X+1 0 X+1 0 1 1 0 X+1 X 1 0 X X X 0 X 1 1 X 0 X+1 0 1 X+1 X X+1 1 X X+1 X+1 X+1 0 1 1 1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X X 0 X 0 0 X X X 0 X 0 0 0 0 0 0 X X X X 0 0 X X X 0 0 X 0 X X X 0 X X X 0 X X 0 0 X 0 0 X 0 0 X 0 0 0 X 0 X 0 X X 0 X X X X 0 0 0 X 0 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 X 0 X X X X 0 X X 0 0 X X X X X 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 X 0 X 0 X 0 0 0 0 0 X 0 0 0 X 0 0 X 0 0 0 X X X X 0 X X X 0 0 X 0 X X X X X 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 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 X 0 X X 0 X 0 X 0 X X X X X X 0 0 X X X X X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X 0 0 X 0 X X 0 X X X X 0 0 X X 0 0 0 0 0 0 X X X X 0 X 0 0 0 X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X 0 0 X 0 0 0 X X X X X 0 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 0 0 0 X X X X 0 0 X X X X X X 0 X 0 0 0 X X 0 X X X 0 X 0 0 0 X X 0 X X X 0 X X X X X 0 X 0 X 0 0 X X X 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 0 X 0 X X 0 X X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 X 0 X X X 0 X X X 0 0 0 X X X 0 0 X X 0 X 0 0 X X 0 0 0 X X X X 0 0 X X 0 X X X 0 0 0 X X 0 0 X X X 0 X 0 0 0 X 0 0 0 X X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+160x^82+402x^84+719x^86+966x^88+1300x^90+1406x^92+1568x^94+1721x^96+1628x^98+1660x^100+1528x^102+1213x^104+863x^106+578x^108+329x^110+200x^112+74x^114+30x^116+15x^118+9x^120+7x^122+4x^124+1x^126+1x^128+1x^144 The gray image is a linear code over GF(2) with n=194, k=14 and d=82. This code was found by Heurico 1.16 in 70.8 seconds.