The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X 0 X 1 1 0 0 1 1 X 1 0 0 0 1 0 0 1 1 1 1 1 0 1 0 0 X X 1 1 0 1 1 1 1 0 1 1 1 X 1 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X 1 X+1 1 1 X 0 X+1 1 0 X+1 1 1 1 1 0 1 0 1 1 0 0 X X+1 0 1 1 0 1 X X X+1 0 1 0 0 X+1 X+1 1 1 X 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X X+1 0 1 0 1 0 X X+1 1 X+1 X+1 X+1 X 0 1 0 1 X+1 1 0 1 0 1 X 0 X 1 X 1 1 1 0 0 1 0 X X+1 X+1 0 X+1 X+1 1 X+1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X 0 0 X 0 0 X X X X X 0 0 0 X 0 0 0 X X 0 X 0 0 X 0 X 0 X 0 X X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X 0 X X X X 0 0 X X 0 X 0 0 0 X X X 0 0 0 0 X X X 0 X 0 X X X 0 X X 0 0 0 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 0 X X X X 0 X X X 0 X X 0 X X 0 0 X 0 X X 0 0 X 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 X X X X 0 X X 0 X X X 0 X 0 0 0 X 0 X X X X X X 0 X 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 X X 0 0 X 0 X X 0 0 X 0 0 X 0 X X X X X 0 X X X X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 X X X 0 0 0 X 0 X X X 0 0 0 X 0 0 X X 0 0 X 0 0 X X X 0 0 X 0 0 X 0 X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X X 0 0 0 X X 0 0 X 0 X X X 0 X 0 X 0 X X 0 X 0 0 0 X 0 0 0 X 0 X X 0 X 0 X X X 0 generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+99x^48+58x^49+139x^50+186x^51+318x^52+288x^53+368x^54+404x^55+425x^56+488x^57+448x^58+578x^59+472x^60+650x^61+553x^62+536x^63+440x^64+426x^65+328x^66+286x^67+222x^68+116x^69+151x^70+52x^71+55x^72+20x^73+44x^74+6x^75+12x^76+2x^77+15x^78+4x^80+1x^82+1x^86 The gray image is a linear code over GF(2) with n=120, k=13 and d=48. This code was found by Heurico 1.16 in 9.26 seconds.