The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 0 0 0 1 X 1 0 1 1 1 1 1 1 0 X 1 1 1 1 1 0 X X 0 1 1 X 1 1 0 1 1 1 0 0 1 X 0 0 1 1 X 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 X+1 0 X 0 X 1 1 1 X+1 1 X 0 0 0 0 1 1 1 X+1 1 1 1 0 0 X 1 1 X+1 0 1 X X 1 1 1 1 1 1 0 1 1 1 X 0 0 X 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 0 1 1 1 0 1 1 X+1 X+1 1 0 X+1 X X 1 0 X 0 X 1 X 0 1 1 0 X X X 1 1 X+1 X X 1 X+1 1 X+1 X+1 X X+1 0 1 1 0 1 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X 0 0 X X 0 X 0 X X 0 X X 0 0 X X 0 X X 0 0 0 0 X 0 0 X 0 X 0 X 0 X 0 0 X X 0 X 0 0 0 X 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 X X X X X X X X X X X X X X X X X X X 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X X X X X 0 0 X X 0 0 0 0 0 X 0 X X X X 0 0 0 X X X X 0 0 X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 X 0 X 0 0 X X 0 0 X 0 0 X 0 X X 0 0 0 X X X 0 X X 0 X X 0 0 X X X 0 0 0 X 0 0 0 X 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 X X X X X 0 X X X X 0 0 0 X X X X 0 0 0 X X X 0 0 X X X 0 X 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 X 0 X 0 X X X 0 0 0 X X 0 0 X X X 0 X 0 X 0 0 X X 0 X X 0 0 0 X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X X X X X X 0 0 0 0 X X X X X 0 0 X X X X X X 0 0 0 0 X 0 0 0 0 X 0 0 0 X 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 0 0 X X 0 0 X 0 X X X 0 0 0 X 0 0 0 X 0 X X X 0 X X X 0 X 0 X X 0 0 0 X 0 0 X 0 X generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+55x^46+32x^47+220x^48+134x^49+283x^50+302x^51+472x^52+526x^53+634x^54+802x^55+910x^56+1052x^57+990x^58+1216x^59+1066x^60+1276x^61+1078x^62+1092x^63+799x^64+766x^65+672x^66+526x^67+444x^68+310x^69+306x^70+122x^71+150x^72+32x^73+69x^74+4x^75+34x^76+7x^78+1x^82+1x^106 The gray image is a linear code over GF(2) with n=120, k=14 and d=46. This code was found by Heurico 1.16 in 33.7 seconds.