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 X X^2 X^2 X^2 X^2 0 X^2 1 1 X X 1 1 X^2 X 1 1 1 1 1 X^2 X X 1 X 1 1 0 X 0 0 0 X X^2+X X 0 X^2 X^2 X X^2+X X X 0 0 0 X^2 X^2+X X^2+X X^2 X^2+X X X^2+X 0 0 X^2+X X 0 X X^2 X X X X X X X X X^2 0 0 X X^2 0 X 0 X X X X X^2+X X X^2 X^2+X X^2 0 X^2+X 0 0 0 X 0 X X X^2+X 0 0 0 X X X 0 X^2 X^2+X X 0 X^2 X^2 0 0 X^2+X X^2 X X^2+X X^2 X^2+X 0 X^2+X X X^2+X X 0 X X X^2+X X^2 0 X^2+X X^2 X^2 X^2+X X^2+X X^2+X X^2 X^2 X 0 0 X X^2+X X^2+X X^2+X X^2+X 0 X X X^2 0 0 0 0 X X 0 X^2+X X X^2 X X^2 0 X X^2 X^2+X X X^2 X^2 X X^2+X X^2 X 0 X X^2+X X^2+X 0 X^2+X 0 0 0 X^2+X X^2+X X^2+X 0 0 X^2 X^2+X X^2 0 X X^2 0 X^2 X^2 X 0 X^2+X X X^2+X 0 0 X^2+X X X^2 X^2 X 0 X 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 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 X^2 0 0 0 0 X^2 0 0 0 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 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 generates a code of length 60 over Z2[X]/(X^3) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+62x^50+110x^51+152x^52+232x^53+288x^54+296x^55+487x^56+554x^57+697x^58+858x^59+800x^60+892x^61+671x^62+560x^63+456x^64+272x^65+248x^66+178x^67+118x^68+92x^69+64x^70+40x^71+23x^72+6x^73+16x^74+6x^75+10x^76+1x^78+1x^80+1x^90 The gray image is a linear code over GF(2) with n=240, k=13 and d=100. This code was found by Heurico 1.16 in 4.98 seconds.