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 0 X 1 0 1 0 X^2 X^2 X^2+X 1 1 1 1 1 X^2+X 0 0 1 1 X X 1 X^2+X X 1 1 X^2 1 1 1 X X^2+X X^2 1 1 1 0 1 1 1 X^2+X 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^2+1 1 X^2 X^2 X^2+X X+1 X^2+X X^2+X 1 1 1 1 X^2+1 X^2+1 X^2+X+1 X^2+X+1 X 1 1 1 X X 0 X^2 X 1 1 1 1 1 1 X^2+X+1 X^2+1 1 X^2 1 X^2+X X X^2 0 X^2 X^2+X X^2+X 1 0 0 1 0 0 0 0 1 X^2+1 1 1 X+1 1 X 1 X^2 X X^2 X^2+X+1 X+1 X 1 X^2+X+1 1 X^2+1 X X^2 X^2+X+1 X^2+X X^2+X X X^2+X+1 X^2+X+1 0 0 1 1 X^2+X X 1 1 1 X+1 X^2+1 X^2+1 X^2+X X^2+X+1 1 X^2+1 X^2+X X^2+X+1 0 X^2+1 X^2+X+1 X X+1 1 1 X^2+X+1 X^2+1 X^2 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 1 X 0 1 X^2+X+1 X+1 0 X+1 X X^2+X+1 X+1 1 1 0 X X^2+1 X X^2+X+1 X^2+X+1 1 X X^2+X+1 X^2+1 X^2 X^2 X X^2+X 1 X^2+X+1 X X X+1 0 X+1 1 X X^2+X X+1 X^2+1 X X^2+1 X^2+X+1 0 1 0 0 0 0 X^2 0 0 0 X^2 0 0 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 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 0 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 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 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+217x^52+360x^53+984x^54+1132x^55+1843x^56+1704x^57+2919x^58+2452x^59+3375x^60+2944x^61+3225x^62+2572x^63+2890x^64+1936x^65+1780x^66+796x^67+851x^68+344x^69+220x^70+88x^71+89x^72+8x^73+21x^74+13x^76+3x^78+1x^80 The gray image is a linear code over GF(2) with n=244, k=15 and d=104. This code was found by Heurico 1.16 in 38.9 seconds.