The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X^2 1 X^2 X^2 1 X X^2 1 X X X X X 0 1 1 X X 1 1 X^2 1 0 0 X 0 0 0 0 0 0 0 X X^2+X X X X^2+X X^2 0 X X^2 X^2+X X X X^2 X X X 0 X^2 0 X^2 0 X^2 X X^2 X^2+X X^2+X 0 X^2+X X^2 X X 0 X^2+X X^2 0 X^2+X X^2+X 0 X X X^2+X X X^2 0 0 0 X X^2+X X 0 0 0 0 X 0 0 0 X X^2+X X 0 0 0 X X 0 X X^2 X X^2+X X^2+X 0 X^2 0 X^2 X^2+X X^2 X^2 X X X^2 X^2 X^2 X^2+X X^2+X 0 X 0 X^2 X X^2+X X X^2+X 0 X X X^2+X X^2 X 0 X^2+X X^2 0 X^2+X 0 0 X^2+X X X^2 X 0 0 0 0 X 0 X X X^2+X 0 X X X^2 0 X^2 X^2+X X X 0 X^2+X X^2+X X^2 X 0 0 X^2 X X^2 X^2 X^2+X 0 X X^2+X X^2+X X X^2 X^2 0 X X^2 X^2+X X^2 0 X X^2 X^2+X X X X^2+X 0 0 X^2+X X^2+X 0 X^2+X X X X X X^2+X X 0 0 0 0 X X 0 X^2+X X X^2 X^2+X X^2+X 0 X^2+X X^2 X^2 X 0 0 X X^2 0 X^2+X X^2 X X X^2 X X X^2+X X 0 0 X X^2+X X^2 0 X 0 X X^2+X X^2 X^2 X^2+X X^2 0 X^2 X X X^2+X 0 X^2 X^2 X^2+X X^2 X X X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 generates a code of length 60 over Z2[X]/(X^3) who´s minimum homogenous weight is 49. Homogenous weight enumerator: w(x)=1x^0+90x^49+149x^50+218x^51+351x^52+344x^53+506x^54+646x^55+918x^56+1182x^57+1352x^58+1660x^59+1627x^60+1588x^61+1409x^62+1206x^63+898x^64+600x^65+553x^66+372x^67+249x^68+138x^69+112x^70+108x^71+37x^72+24x^73+10x^74+14x^75+13x^76+2x^77+5x^78+1x^80+1x^88 The gray image is a linear code over GF(2) with n=240, k=14 and d=98. This code was found by Heurico 1.16 in 20.1 seconds.