The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X X 0 1 X 1 1 X X 1 1 0 X 1 1 1 1 1 1 0 0 0 X 1 X 1 1 1 X 1 1 0 1 0 0 0 X X 1 1 1 0 1 0 0 0 1 1 1 0 0 1 X+1 1 0 1 1 X X 1 X+1 X+1 X X 0 0 1 1 1 0 1 X+1 1 0 1 0 X 1 1 X X+1 0 0 1 0 1 1 X 1 X 0 1 1 0 X 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 X 1 0 1 X+1 1 1 0 1 X+1 1 X X X 0 0 1 1 X 0 1 X+1 X+1 1 X+1 1 X+1 0 X+1 0 0 X X+1 X 1 1 X+1 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 X X 1 0 X 1 X+1 1 0 1 1 1 0 X X 1 1 1 1 1 X+1 X+1 X 0 0 X X+1 X+1 X+1 1 0 X X 1 X+1 1 1 1 1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X X 0 0 X 0 X X X X X X X 0 0 X 0 0 0 X X 0 X 0 X 0 X 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X 0 0 X X 0 X X 0 X 0 X 0 X 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X X 0 X X 0 X 0 0 X X X 0 0 0 0 X X X 0 X 0 0 X 0 X 0 X 0 0 0 0 X X 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 X X X 0 0 0 0 X 0 X 0 0 X 0 X 0 0 X X X 0 0 X X 0 X X X X 0 0 X X X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 X X X X 0 X X 0 X 0 0 X X X X X 0 0 0 0 X 0 0 X 0 X X X 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X X 0 0 X X 0 0 0 X X X X 0 X X X X X X 0 X X X X X X X X 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 X X 0 0 X X 0 0 0 X 0 0 0 0 X X X 0 0 0 X X 0 X 0 X X X 0 0 0 X 0 0 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+39x^40+62x^41+153x^42+220x^43+375x^44+486x^45+650x^46+766x^47+1076x^48+1226x^49+1518x^50+1864x^51+1944x^52+2204x^53+2393x^54+2450x^55+2351x^56+2472x^57+2091x^58+1916x^59+1673x^60+1310x^61+1006x^62+802x^63+557x^64+354x^65+312x^66+160x^67+150x^68+64x^69+61x^70+14x^71+24x^72+14x^73+6x^74+2x^76+2x^78 The gray image is a linear code over GF(2) with n=110, k=15 and d=40. This code was found by Heurico 1.16 in 96.5 seconds.