The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 X X 1 X 1 X 1 X 1 1 0 0 0 1 X 0 0 1 X 1 1 1 1 0 X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 X 1 0 1 X 0 1 1 0 0 0 0 0 X X+1 1 X+1 1 X 0 1 X+1 1 1 1 X+1 1 X+1 X X+1 X+1 1 1 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 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 1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 X+1 1 1 0 1 X+1 X 1 0 0 0 1 1 1 1 0 0 0 X 0 0 X 0 0 X 1 1 0 0 0 0 X 0 0 X 0 0 0 X 0 0 0 X 0 0 0 X 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 1 0 1 1 1 0 0 0 1 0 1 0 X+1 1 X 0 X+1 0 X X 1 0 1 0 1 X 0 0 1 0 1 1 X 1 0 X 1 1 X+1 0 0 0 1 0 1 X+1 0 0 X 0 0 0 X 0 0 X X 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 1 1 1 0 0 1 1 0 X+1 1 0 X+1 0 X+1 1 X X 1 X+1 1 X+1 0 0 0 X 0 1 0 X+1 1 X+1 X 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 X 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 X 0 0 0 0 X 0 X X 0 0 X X 0 X 0 0 X 0 X 0 0 0 X 0 0 X X 0 X X X X X 0 0 X 0 X X X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 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 X 0 0 0 X 0 0 X X X X 0 0 X X X 0 0 X 0 0 X 0 X X X 0 X 0 0 0 X X 0 0 X 0 0 X X 0 X 0 X 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 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X 0 0 X X X 0 X 0 0 0 X X 0 X 0 0 0 X 0 X 0 0 X 0 X 0 X 0 0 0 X X 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 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X 0 0 X 0 0 0 0 X X X X X X X 0 0 X 0 X 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 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 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X 0 0 0 0 0 X 0 X X X X X X 0 0 X 0 X 0 0 0 0 X 0 0 0 X X 0 X X 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 generates a code of length 91 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+15x^40+31x^42+43x^44+95x^46+151x^48+310x^50+449x^52+617x^54+830x^56+1009x^58+1039x^60+987x^62+886x^64+630x^66+467x^68+299x^70+181x^72+108x^74+44x^76+86x^78+268x^80+476x^82+920x^84+1524x^86+2220x^88+2700x^90+2648x^92+2198x^94+1598x^96+1004x^98+462x^100+194x^102+70x^104+46x^106+94x^108+197x^110+296x^112+461x^114+709x^116+832x^118+1004x^120+1054x^122+951x^124+831x^126+646x^128+462x^130+253x^132+176x^134+111x^136+42x^138+17x^140+12x^142+10x^144+3x^146+1x^152 The gray image is a linear code over GF(2) with n=182, k=15 and d=40. This code was found by Heurico 1.16 in 99.2 seconds.