The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 0 X 1 1 1 1 0 1 X 1 1 1 0 0 0 1 X 1 1 0 X X 0 1 X 1 0 1 1 0 1 0 X 1 1 1 1 X 1 X 1 X 1 0 1 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 X X+1 1 X X 1 1 X+1 1 0 0 1 X+1 1 X 1 X X 1 1 0 1 X+1 1 X+1 1 X X+1 X 1 X 0 X+1 1 X X X X+1 1 0 1 1 1 1 0 1 X 1 X X 0 0 1 0 0 0 1 1 1 1 X 1 0 X+1 X+1 X+1 X X+1 0 0 X X+1 X+1 1 1 1 X+1 0 X 0 0 1 0 1 0 1 1 X+1 X X+1 1 0 1 1 X+1 1 1 0 X 1 X 1 X+1 0 0 X+1 X 1 X+1 X+1 0 X X+1 0 0 0 0 0 1 0 1 1 0 1 0 X+1 X+1 1 X X+1 X+1 X 0 1 1 0 1 1 0 X+1 0 X 0 X+1 0 X 1 1 1 0 X+1 0 1 1 X X 1 0 X+1 X+1 0 X+1 1 1 1 0 1 1 X X+1 X+1 X+1 1 0 X+1 1 1 0 1 0 0 0 0 0 1 1 0 1 1 X 0 X 1 X+1 X+1 0 X+1 X 0 X+1 0 1 X 1 X X+1 X 0 X 1 X 1 X+1 1 1 1 X 0 1 0 1 X X 0 0 0 1 X+1 1 X+1 0 0 1 1 X X 0 0 0 1 0 1 X+1 1 1 0 0 0 0 0 X 0 0 0 X 0 X X 0 X X 0 0 X 0 X 0 X X X 0 0 0 0 X X 0 0 X 0 0 0 0 X 0 0 0 X 0 0 X X X 0 0 X X X X X X X X X X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X X X 0 0 X X 0 X X 0 X 0 X 0 X X 0 X 0 X 0 0 0 0 X X 0 0 X X 0 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 X X X X 0 0 X 0 0 X X 0 0 0 X X 0 X 0 0 0 0 X 0 X 0 X 0 X 0 X 0 0 X X 0 X 0 X X X X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 X X X 0 X X X X 0 X 0 0 X X 0 0 X 0 0 X X X X X 0 0 0 0 0 0 X X X X 0 0 0 X 0 X X X X 0 X 0 X X X 0 0 0 X 0 0 0 0 generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+70x^52+142x^53+226x^54+326x^55+420x^56+492x^57+620x^58+702x^59+788x^60+888x^61+922x^62+978x^63+1009x^64+1050x^65+1080x^66+1088x^67+996x^68+978x^69+791x^70+670x^71+593x^72+404x^73+368x^74+290x^75+189x^76+120x^77+73x^78+42x^79+24x^80+22x^81+12x^82+4x^84+3x^86+1x^88+1x^92+1x^94 The gray image is a linear code over GF(2) with n=130, k=14 and d=52. This code was found by Heurico 1.16 in 69.2 seconds.