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 1 1 1 1 1 1 X^2 0 1 1 X X X^2 X X 1 1 1 X X 0 1 1 1 0 X 0 0 0 0 0 0 0 0 X^2 X X X^2+X 0 X^2+X X^2+X 0 X X^2 X^2+X X^2 X X X X^2 X 0 X X^2 X^2+X X X^2+X X^2+X X^2+X X^2+X X 0 X^2 0 X^2 X^2+X 0 X 0 X^2+X X^2 X^2 X X^2 X X^2 X^2 X^2 X^2+X X X^2 X^2 X 0 0 0 X 0 0 0 0 0 0 0 X^2+X X^2 X X X X 0 X 0 X X^2+X X^2 0 X^2+X X X X^2+X X^2+X X^2 0 X^2+X 0 X^2 X^2+X X 0 X^2 X^2+X X X^2 X^2 X^2+X 0 X X X^2 X X^2+X X^2 X X^2+X X X 0 X^2+X X^2+X 0 X^2 X X^2 0 0 0 X 0 0 0 X X^2+X X X X^2+X 0 X X^2 0 X^2+X X^2+X X^2+X X^2 X^2+X X 0 X^2 0 X^2 X X X X^2 X 0 X^2+X 0 X X^2+X 0 X^2 X 0 X^2 X^2+X X X^2+X X^2+X X^2 0 X 0 X 0 X^2 0 0 X^2 X^2+X X^2 0 0 X 0 0 0 0 X 0 X X X X^2 X X X X^2 X^2 X^2+X X^2+X X^2 X^2 X^2+X X^2+X X X^2+X X^2 X^2 X 0 X^2+X X^2 X^2+X X^2+X X X^2+X X 0 X^2+X X^2+X X^2+X X^2 X^2 0 X^2+X X^2+X 0 X^2 X 0 X^2+X 0 X^2+X X X^2 X X^2+X X^2+X 0 X X^2+X 0 X 0 0 0 0 0 X X X^2 X^2+X X^2+X X X X^2+X 0 X X^2 X^2 X^2 X^2+X X 0 X^2 X^2 0 X 0 X X^2 X^2 X^2+X X^2+X X^2+X X^2+X 0 X^2 X^2 X^2 X X^2 X^2 X^2+X X^2 0 0 X X^2+X 0 X^2+X X^2+X X^2 X^2+X X^2+X X^2 0 0 X X^2 X X^2+X X 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 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+62x^49+154x^50+230x^51+297x^52+366x^53+435x^54+562x^55+750x^56+986x^57+1517x^58+1946x^59+1953x^60+1774x^61+1435x^62+1148x^63+794x^64+488x^65+433x^66+318x^67+237x^68+196x^69+110x^70+74x^71+59x^72+32x^73+12x^74+10x^75+4x^76+1x^100 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 18.5 seconds.