The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 0 1 1 1 X 1 1 0 1 X 1 0 1 X 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 0 1 X 1 1 1 1 0 0 1 0 1 0 1 1 1 0 1 1 X X 0 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 0 X+1 1 X+1 0 1 X+1 0 1 1 0 0 1 X X+1 1 X+1 1 0 1 X+1 1 X+1 X X+1 1 1 0 X 1 X X+1 1 X+1 X X+1 0 X 1 0 1 X+1 X+1 1 1 1 1 X 1 X X X 1 X+1 X 0 X+1 1 1 1 0 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X 0 X 0 0 X 0 X X X 0 0 0 X X 0 X 0 X X X X X X 0 0 0 0 0 0 0 X X X 0 X X 0 0 X X X 0 0 0 0 0 0 X 0 0 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 X X X X X X X X X X X X X X X X X X X X 0 0 X X 0 X X X 0 X X X 0 X 0 X X X 0 X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 X X 0 0 X X 0 X X 0 0 X X 0 X X 0 0 X 0 0 X 0 0 0 0 X 0 0 0 0 X 0 X X X X X 0 0 X 0 X 0 0 X 0 X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X 0 X 0 X 0 X X 0 X X X 0 0 X X 0 X X X 0 0 X 0 0 0 X X 0 0 0 X X X 0 0 X 0 X 0 0 0 0 0 0 X 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 0 X X X X X 0 X 0 0 X 0 0 0 0 0 X X X X X X 0 X X X 0 X 0 X 0 0 0 0 X X 0 0 0 X 0 X 0 X X X X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 X X X 0 0 X X X X X X X 0 X 0 X 0 0 0 X 0 X X 0 0 0 X X 0 0 0 X X X 0 0 0 0 0 0 X 0 0 X X X 0 X X X X X 0 0 X X 0 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X X 0 X X 0 X X X X X 0 0 0 X X X 0 0 0 0 X 0 X 0 X X X 0 0 X 0 X X 0 X 0 0 X X 0 0 0 0 0 0 X X 0 0 0 X 0 X 0 0 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 0 0 X X X 0 0 X X X 0 X 0 X 0 0 0 X 0 0 X X X 0 0 0 X 0 0 X X X 0 X X 0 0 0 X 0 X X 0 X X 0 X X X 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 X 0 X X X 0 X X 0 0 0 X 0 0 X 0 X 0 X X 0 0 0 X X X 0 X X X 0 0 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X 0 X 0 0 0 0 X X 0 X 0 0 X 0 0 X 0 X X 0 X X X X 0 X 0 0 X 0 0 0 0 X 0 X X 0 0 0 X X X 0 X 0 X X 0 0 X X X X 0 0 X X X generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+92x^64+14x^66+358x^68+192x^70+862x^72+666x^74+1517x^76+1330x^78+2363x^80+1692x^82+2239x^84+1412x^86+1523x^88+650x^90+804x^92+170x^94+340x^96+18x^98+99x^100+31x^104+6x^108+4x^112+1x^124 The gray image is a linear code over GF(2) with n=164, k=14 and d=64. This code was found by Heurico 1.16 in 59 seconds.