The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 1 X 1 X^2 1 X^2 1 1 1 X 1 1 X 1 X 0 X^2 1 1 1 1 1 1 1 1 1 1 X^2 1 1 X^2 1 1 1 X^2 X 1 1 X X X^2 1 1 1 0 X 1 0 X 1 X 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X X^2+1 1 0 1 1 1 X^2 X+1 X+1 1 X^2+X 0 1 X+1 1 1 1 X X^2+X X^2+1 X^2+1 0 0 X^2+X+1 X+1 X X^2 1 X^2+X+1 1 1 X^2 X+1 X^2+X+1 1 1 0 X^2+1 1 1 1 X^2+1 X^2 X+1 1 1 X+1 0 X^2 X^2 0 0 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2+X X^2 X X^2 X X 0 X^2+X X^2 X^2+X X^2+X X^2 X^2+X 0 0 X 0 X^2 X 0 X^2 X^2 0 X^2 X X^2+X X^2+X X^2+X X X^2+X 0 X^2+X X^2+X 0 0 X^2+X X^2 X^2 X X X X^2+X X^2 X X^2+X 0 0 X^2 X X^2+X X^2+X X^2 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 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 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 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 generates a code of length 61 over Z2[X]/(X^3) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+104x^52+16x^53+294x^54+128x^55+621x^56+248x^57+956x^58+416x^59+1166x^60+440x^61+1134x^62+384x^63+904x^64+296x^65+542x^66+96x^67+234x^68+24x^69+112x^70+29x^72+30x^74+8x^76+4x^78+5x^80 The gray image is a linear code over GF(2) with n=244, k=13 and d=104. This code was found by Heurico 1.16 in 3.81 seconds.