The generator matrix 1 0 0 0 0 0 0 1 1 1 1 X 1 1 1 X 0 1 1 0 0 X 0 X 1 1 X 1 1 1 1 1 0 X 1 X 0 1 X X 0 1 1 1 1 1 1 1 0 X X 1 1 1 0 0 X 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 1 1 1 1 1 X+1 1 1 1 X+1 X+1 X+1 X+1 1 0 X 1 0 X 1 1 0 X X 1 X X X+1 X X 1 1 X 1 X+1 1 1 1 X 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 X+1 X 0 X X+1 1 1 X 1 0 X X+1 1 0 0 X 1 1 X 1 X 1 X X 0 X X+1 1 0 0 1 X+1 X+1 X 1 X+1 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 X 0 1 X+1 X 0 1 X X X 1 1 1 X X+1 0 X+1 1 0 1 0 X+1 1 0 0 0 0 X+1 0 1 X+1 X+1 X 0 1 X X+1 0 X+1 0 X 0 X X X 1 0 0 0 0 0 0 1 0 0 0 1 X 1 X+1 X 0 1 X X X+1 X 1 0 X+1 X X+1 0 X+1 X+1 X X+1 X X+1 X X 0 1 X+1 1 X 0 1 1 X X+1 X+1 0 X+1 0 X+1 0 X 1 1 1 X+1 1 1 0 X X 0 0 0 0 0 0 1 0 1 0 1 X+1 X+1 X 1 0 X 1 1 X+1 X 0 0 1 X X X X+1 X+1 1 X 0 X+1 0 X+1 1 0 1 1 1 X+1 1 X X+1 0 1 1 X 0 X X+1 X+1 0 1 X X+1 1 1 X 0 0 0 0 0 0 0 0 1 1 X+1 0 X 1 1 X X X+1 1 1 X+1 X+1 1 0 1 X 1 0 1 1 X+1 0 0 X X+1 X+1 1 1 0 X+1 0 1 X X+1 X+1 0 X 1 0 X+1 1 X X+1 0 0 1 X X X+1 X 0 0 0 0 0 0 0 0 0 X X 0 0 X X 0 0 X X X X X X 0 X 0 X 0 X X X 0 X X 0 0 0 0 X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 X X 0 0 X 0 X X 0 generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+90x^46+96x^47+353x^48+404x^49+545x^50+710x^51+968x^52+1142x^53+1339x^54+1570x^55+1702x^56+1982x^57+1992x^58+2130x^59+2211x^60+2326x^61+2145x^62+2202x^63+1792x^64+1638x^65+1483x^66+1138x^67+886x^68+586x^69+477x^70+286x^71+228x^72+98x^73+103x^74+54x^75+47x^76+10x^77+13x^78+6x^79+4x^80+6x^81+4x^82+1x^90 The gray image is a linear code over GF(2) with n=120, k=15 and d=46. This code was found by Heurico 1.11 in 48.6 seconds.