The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 0 X 0 0 0 0 X 0 0 0 1 1 X 0 X X 0 1 1 0 0 1 1 0 1 1 1 X 1 X X 1 1 0 0 1 0 1 X X 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 X X 1 1 0 X 1 X 1 X 0 1 1 1 X 1 X+1 X+1 1 1 1 0 1 X 1 X+1 X 1 1 1 0 X+1 X 1 0 1 X+1 1 1 1 X 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 X X X X X 1 X X+1 1 1 1 X X 0 X 1 X 1 X+1 0 X+1 1 X 0 X 1 X X 1 0 X+1 X 0 X+1 1 X+1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 X 1 0 X+1 0 1 1 X X+1 1 0 1 0 X 0 0 X 1 X 1 X X+1 1 X 0 X+1 0 0 1 0 0 1 1 X 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 X 1 X+1 1 0 1 1 1 0 X 1 X+1 X+1 X+1 0 0 X 0 0 X+1 X+1 1 1 X 1 0 X+1 1 1 X+1 1 0 0 1 X 1 1 X+1 1 0 X+1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 0 X X X 0 X X 0 X X 0 0 0 X X X 0 X 0 0 X 0 0 X 0 0 X 0 X X 0 X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X 0 X X X X X X 0 0 0 0 X X X 0 0 0 0 0 0 0 X X 0 X 0 X X 0 0 X 0 0 X 0 0 X 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 X 0 X 0 X X 0 0 0 X X 0 X 0 X 0 0 X X 0 0 X X X 0 0 X 0 0 X X X 0 0 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 X X X 0 0 0 X X X 0 X 0 0 X X X 0 0 0 X 0 0 0 0 0 X X X 0 0 0 X X 0 X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 X 0 0 X X X 0 0 X X 0 0 0 0 0 0 X X X 0 0 0 X X 0 X 0 0 X 0 X X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+21x^40+50x^41+100x^42+124x^43+142x^44+196x^45+259x^46+328x^47+427x^48+520x^49+614x^50+684x^51+818x^52+936x^53+988x^54+1148x^55+1137x^56+1298x^57+1358x^58+1336x^59+1588x^60+1490x^61+1525x^62+1588x^63+1504x^64+1474x^65+1401x^66+1336x^67+1140x^68+1050x^69+979x^70+854x^71+826x^72+718x^73+617x^74+564x^75+406x^76+362x^77+268x^78+192x^79+144x^80+82x^81+69x^82+36x^83+34x^84+14x^85+13x^86+2x^87+4x^88+2x^89+1x^90 The gray image is a linear code over GF(2) with n=124, k=15 and d=40. This code was found by Heurico 1.16 in 99.6 seconds.