The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 X X X 1 1 1 1 1 1 1 X 1 0 1 0 1 0 X 1 0 1 0 1 0 1 X X 1 1 0 0 0 0 X 1 1 1 1 X 0 0 X 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 X+1 X 1 0 1 X 0 X+1 1 1 1 X X X 0 1 X 1 0 0 X+1 0 1 X X 1 X 1 1 X X+1 X X X+1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 X 1 1 1 1 X X X+1 X+1 X+1 0 1 1 X X+1 1 0 1 0 1 1 1 0 0 0 X+1 X+1 1 1 X X+1 0 X+1 X+1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 X 0 1 X+1 X+1 0 X 1 X 0 1 X X+1 1 X 0 X+1 1 X 1 X X+1 X+1 X 0 X 1 1 0 X X 0 X 0 1 X 1 X+1 1 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X 0 0 0 X 0 X X X 0 X X X 0 0 X X X 0 X 0 0 0 0 X X 0 0 X 0 X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X 0 0 X X X X X 0 X 0 X 0 0 X X X 0 X 0 X 0 0 0 0 0 0 0 X X 0 X 0 0 X X X X 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 X 0 0 X X 0 0 0 X 0 X 0 X 0 X 0 X X X 0 0 0 0 X X 0 0 0 X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X X X 0 0 X X 0 X 0 0 0 X X X X X X 0 0 X 0 X 0 0 0 X X 0 0 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X 0 0 0 X 0 X X 0 0 0 X X 0 X X X 0 0 0 X 0 0 0 0 X 0 X 0 0 X 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 X 0 X 0 0 X 0 0 0 X 0 X X 0 0 X X 0 X 0 X 0 X 0 0 X X X X 0 0 0 0 0 X 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 X X X 0 X X X X X 0 X X 0 X 0 0 X X X 0 0 0 0 0 0 0 0 0 0 generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+67x^40+157x^42+286x^44+600x^46+987x^48+1409x^50+1942x^52+2568x^54+3095x^56+3434x^58+3640x^60+3481x^62+3067x^64+2580x^66+1997x^68+1447x^70+929x^72+549x^74+289x^76+127x^78+77x^80+31x^82+5x^84+1x^86+1x^88+1x^92 The gray image is a linear code over GF(2) with n=120, k=15 and d=40. This code was found by Heurico 1.16 in 97.2 seconds.