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^2 1 1 1 1 X^2+X X 1 X^2+X X X^2 1 1 1 1 1 1 1 1 1 X^2+X X 1 0 X 1 X^2+X 1 0 1 1 1 1 0 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 X 1 X^2+1 X^2 X+1 1 X X^2+X 1 1 X X^2+1 X^2 X^2+1 X^2+X X^2+X X^2+1 X^2+X+1 X^2+X+1 X X^2 X^2 X^2 1 1 X 1 X^2+X+1 1 X^2+X+1 X+1 X^2+1 X^2+X+1 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 1 X X^2+X+1 X^2+1 X^2 X+1 X X^2+X+1 X^2+X 1 1 X+1 X^2+X 0 1 X^2+X+1 1 0 1 0 1 1 X^2+X X^2 X^2+X+1 X^2+X X^2 X^2+X 1 X X^2 0 X^2+1 1 1 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^2+X+1 0 X 1 X+1 X^2+X+1 1 X^2+X X^2+X+1 X^2+1 X X^2+1 X 0 1 X^2+1 X^2+X+1 0 0 X^2+X+1 X X^2+X X^2+X+1 X+1 X^2+1 X+1 X^2+X 1 X^2+X 1 X+1 1 X^2+1 X^2+1 X 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 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 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 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 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 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 0 generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+200x^50+384x^51+914x^52+984x^53+1942x^54+1796x^55+2774x^56+2404x^57+3319x^58+3052x^59+3609x^60+2644x^61+2830x^62+1860x^63+1717x^64+812x^65+739x^66+324x^67+297x^68+68x^69+55x^70+8x^71+31x^72+2x^74+1x^78+1x^80 The gray image is a linear code over GF(2) with n=236, k=15 and d=100. This code was found by Heurico 1.16 in 36.2 seconds.