The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 1 X 1 X^2 X^2 1 1 1 1 X 1 X 1 1 1 0 X^2 1 X^2+X 1 1 1 1 X^2 1 X^2 X X^2+X 1 1 1 1 1 1 X^2 0 1 1 1 X 1 1 X 1 1 X^2+X X 1 1 1 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X X^2+1 1 0 1 1 1 X^2 X+1 X+1 1 X^2+X 1 0 X+1 X 1 1 X^2+X+1 1 X^2+1 0 0 1 1 1 1 1 1 X X^2+X X^2+X+1 1 0 1 1 1 X+1 1 X^2+1 X X^2+X X+1 1 X+1 1 1 X^2 X^2+X+1 1 X 0 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2+X X^2 X X^2 X 0 X X^2+X X^2 X^2+X X^2+X X^2 0 X^2+X 0 X 0 X^2 X X X^2 0 X^2 X X^2+X X^2 X^2+X X^2+X 0 X^2+X X X^2+X 0 X^2 X^2+X X^2+X X 0 X^2 X^2 X 0 X X^2 0 X^2+X X X X X X 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 generates a code of length 60 over Z2[X]/(X^3) who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+36x^51+133x^52+194x^53+194x^54+496x^55+474x^56+830x^57+433x^58+982x^59+632x^60+1080x^61+468x^62+844x^63+444x^64+408x^65+142x^66+180x^67+86x^68+38x^69+30x^70+20x^71+16x^72+10x^73+9x^74+2x^75+4x^76+4x^78+1x^80+1x^84 The gray image is a linear code over GF(2) with n=240, k=13 and d=102. This code was found by Heurico 1.16 in 3.9 seconds.