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 X^2 1 1 X^2 X X 1 X 0 X^2 X 0 1 X^2 1 1 1 0 1 0 1 1 1 1 1 1 X 1 0 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^2+X 0 X^2+X X^2 X^2+X 0 X X^2 0 X X X^2+X X X^2 X X X X 0 X^2 X X^2+X X X X^2 X X^2 X^2+X X 0 X^2+X X X^2+X X X^2 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^2+X X^2+X X X^2 X^2 X^2+X X X^2+X X^2 X^2 0 0 0 X X 0 X X^2+X X^2+X X X^2 0 X^2+X 0 X^2 X X X X X^2+X 0 0 0 X^2 X 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 X^2 X 0 X^2+X X^2+X X^2 0 0 X^2 X^2+X X^2 X X 0 0 0 X X 0 X^2+X 0 X 0 0 0 X 0 X^2+X 0 X X X X^2+X X X^2 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 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 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 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 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 X^2 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 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 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 49. Homogenous weight enumerator: w(x)=1x^0+46x^49+117x^50+148x^51+204x^52+286x^53+323x^54+468x^55+598x^56+688x^57+846x^58+840x^59+836x^60+720x^61+565x^62+448x^63+293x^64+250x^65+141x^66+116x^67+102x^68+50x^69+43x^70+28x^71+12x^72+8x^73+7x^74+2x^76+5x^78+1x^90 The gray image is a linear code over GF(2) with n=236, k=13 and d=98. This code was found by Heurico 1.16 in 5.29 seconds.