The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 0 1 X 0 0 1 1 1 X 1 1 0 X 1 X 1 1 X X X 1 1 1 0 1 1 X 1 X X 1 X X 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X X 1 1 X+1 1 0 0 X X 1 1 1 X+1 1 X 0 1 X X 1 1 1 0 X 1 X 0 0 1 0 X 0 0 1 X 0 X 0 0 0 0 0 1 1 1 0 1 0 1 1 0 X 1 1 1 0 1 0 0 X+1 1 1 1 X X+1 X+1 X 0 0 1 X 1 1 X 1 X X X+1 X X+1 1 0 1 0 X+1 1 1 0 1 1 X+1 0 1 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X 0 X 0 X 0 0 0 0 0 X X 0 0 X X 0 0 X X X X X X 0 X 0 0 X X X 0 0 0 0 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 X X 0 0 0 0 X X X 0 0 X X X X 0 X 0 X X X X 0 X 0 X 0 X X 0 X X X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 X 0 0 X 0 X 0 X 0 0 X 0 X X X 0 X X 0 X X 0 0 0 0 X 0 0 X 0 X X X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X 0 X 0 0 X X X 0 X X X 0 0 X X 0 0 X X 0 X 0 X X 0 X 0 X 0 X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X X X X 0 0 X 0 X X X 0 0 0 0 X X X X X 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X X X X X X 0 0 0 X 0 X X X X X 0 X 0 0 X 0 0 0 X X X 0 X X X 0 X 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 X 0 X X 0 X X X X 0 X X X X 0 X 0 X X X 0 X X 0 0 X X 0 X 0 X X X X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X 0 X X 0 X X 0 0 0 X 0 0 0 0 X X 0 0 X 0 X X 0 0 X X X 0 0 0 0 0 X X 0 generates a code of length 55 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+34x^40+12x^41+102x^42+74x^43+234x^44+188x^45+355x^46+372x^47+511x^48+662x^49+754x^50+924x^51+962x^52+1150x^53+1140x^54+1346x^55+1127x^56+1244x^57+988x^58+946x^59+789x^60+664x^61+520x^62+360x^63+324x^64+158x^65+194x^66+72x^67+89x^68+14x^69+32x^70+2x^71+19x^72+4x^73+10x^74+5x^76+1x^78+1x^84 The gray image is a linear code over GF(2) with n=110, k=14 and d=40. This code was found by Heurico 1.16 in 28.9 seconds.