The generator matrix 1 0 0 0 1 1 1 1 1 1 1 X X X^2 X^2+X 1 X^2 1 X^2 1 1 X^2 1 X^2 X 1 1 0 X^2+X 1 1 1 X^2 X^2 X^2 1 1 1 X 1 1 1 0 1 1 1 X^2+X X^2+X 1 1 1 X^2 X 1 X^2+X 1 X^2 X 1 X^2 0 1 0 0 X 1 X^2+X+1 X^2 X^2+X X^2+1 X+1 1 1 1 X X^2 1 X 1 X+1 X X^2 X^2+X+1 X^2+X 1 X 1 1 0 X+1 X X^2+X+1 X 1 0 0 X^2 X^2+1 1 X^2+X+1 X+1 X+1 1 X 1 X+1 1 1 X^2+X 0 1 1 X^2 X^2 X X^2 X^2+X X 0 0 0 0 1 0 0 0 0 1 X^2+1 1 1 X+1 1 X 1 X^2 X X+1 X^2+X+1 X^2+X+1 X^2+1 1 X^2 0 X^2+X+1 X X+1 X^2+X 1 0 X^2+X X^2 1 X+1 X 1 0 X^2+X X^2 X^2+X+1 X 0 X^2+X X+1 0 X+1 X^2 X^2+X X X+1 X^2+X X+1 1 X+1 1 X^2 1 1 X^2+X+1 X^2+X 0 0 0 1 1 X^2+X+1 X^2+X X+1 0 X^2+X 1 1 X^2 X+1 1 X^2+1 X^2 X^2 X X+1 1 X+1 X^2+1 1 X+1 X^2+X X X+1 0 X+1 X^2+X+1 X^2 X+1 X^2+1 1 1 X^2+X+1 X X^2+1 X+1 X^2+X+1 X^2+X 0 1 0 X 1 X^2 X^2 X^2+X X^2 1 X+1 X^2 X X^2+X X^2+X+1 X X^2+X 1 0 0 0 0 X^2 0 0 0 X^2 0 0 0 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 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 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+188x^51+445x^52+900x^53+1101x^54+1780x^55+2002x^56+2510x^57+2485x^58+3396x^59+3199x^60+3142x^61+2798x^62+2760x^63+1858x^64+1684x^65+1002x^66+792x^67+331x^68+204x^69+93x^70+44x^71+34x^72+6x^73+9x^74+1x^76+2x^77+1x^96 The gray image is a linear code over GF(2) with n=240, k=15 and d=102. This code was found by Heurico 1.16 in 37.8 seconds.