The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 X 0 0 0 X X X 0 0 0 1 X 1 1 1 0 1 0 1 1 0 0 1 1 X 1 0 1 1 X 0 X X 1 1 X X X 0 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 X 1 X+1 1 X X 0 X 1 0 X 1 0 X 1 X+1 0 X 0 1 X 1 X 1 X 0 0 1 1 1 0 0 1 X+1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 X 1 1 X X 0 X X X 1 X+1 X 1 1 X+1 1 0 0 X 1 X X 1 0 X 0 1 X+1 1 X X 0 1 X+1 1 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 0 X X+1 X 0 X X+1 1 X 0 X+1 0 X X X X 0 1 0 X+1 X+1 0 X X+1 0 0 1 X 1 0 X X+1 1 0 X 1 1 0 0 0 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 1 0 0 1 0 1 1 X+1 0 1 1 X 1 X+1 X+1 1 1 1 1 0 0 0 X+1 X X+1 X+1 1 1 X+1 1 X X 1 0 1 1 X 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 0 X X 0 X X 0 0 X X X X 0 X X 0 0 0 0 X X X 0 X X 0 X 0 0 0 X X X 0 X X X 0 0 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 0 X X X X 0 0 0 0 X 0 0 X X X X 0 0 0 X 0 0 0 0 X X 0 0 0 X 0 X 0 X X 0 X X 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 0 0 X X X X 0 X 0 0 0 X 0 0 0 0 X X X 0 X X 0 X X 0 0 X 0 0 X X X 0 0 X 0 0 0 0 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 X X 0 X 0 0 X 0 X X 0 X X X X X X X 0 X X X X X X 0 0 X X X 0 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X 0 X X X X 0 X X 0 X 0 0 0 X X 0 X 0 X X X 0 X X X X 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+53x^40+158x^42+286x^44+575x^46+765x^48+1023x^50+1330x^52+1424x^54+1483x^56+1625x^58+1760x^60+2074x^62+2489x^64+2683x^66+2442x^68+2150x^70+1859x^72+1451x^74+1468x^76+1426x^78+1354x^80+1101x^82+761x^84+532x^86+271x^88+148x^90+48x^92+11x^94+13x^96+3x^98+1x^100 The gray image is a linear code over GF(2) with n=132, k=15 and d=40. This code was found by Heurico 1.16 in 98.4 seconds.