The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 X 1 0 1 1 1 0 1 X 1 1 1 1 1 1 0 X X X 1 1 1 0 0 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 X+1 0 1 1 X+1 X 1 X+1 1 0 X X+1 1 1 1 X 0 X 1 1 X 1 0 1 0 X+1 1 1 1 1 1 X+1 1 X+1 0 0 X+1 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 X X X X X X X X X X X X 0 X X 0 X X 0 X 0 X 0 X 0 X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 X 0 X X 0 0 X 0 X 0 X X X 0 X 0 0 X 0 X X X 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 X 0 0 0 X 0 X X X 0 0 0 X 0 X X 0 X 0 0 X 0 X 0 0 X X X X 0 X 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X 0 X 0 X X X X 0 X 0 0 X 0 X X X 0 0 X 0 0 X 0 0 0 0 X 0 X 0 X X X 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X X X X X X 0 0 X 0 0 X 0 X X X X X X 0 0 0 0 0 0 X X 0 0 X 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 0 X 0 X 0 0 X X 0 X 0 X 0 X 0 0 X X 0 0 X X 0 X 0 X X 0 X X 0 0 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X 0 X X 0 0 0 0 X 0 0 X X X 0 X 0 X X X 0 X 0 X X 0 0 0 0 X X X X X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 X X X X X 0 X 0 X 0 X X X X X 0 X X 0 0 X 0 0 0 0 0 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 X 0 X X 0 X X 0 0 0 X 0 0 X 0 X X X X 0 X X X 0 0 0 0 0 X 0 X X 0 X X 0 X X X 0 generates a code of length 55 over Z2[X]/(X^2) who´s minimum homogenous weight is 41. Homogenous weight enumerator: w(x)=1x^0+2x^41+60x^42+10x^43+140x^44+62x^45+216x^46+174x^47+263x^48+320x^49+356x^50+488x^51+503x^52+636x^53+521x^54+700x^55+521x^56+642x^57+490x^58+506x^59+378x^60+326x^61+263x^62+150x^63+168x^64+60x^65+112x^66+20x^67+65x^68+23x^70+7x^72+6x^74+1x^76+1x^78+1x^92 The gray image is a linear code over GF(2) with n=110, k=13 and d=41. This code was found by Heurico 1.16 in 12.4 seconds.