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 1 1 1 1 1 1 0 X^2 1 X^2 X^2 0 1 0 X X X^2 0 1 1 0 X 1 1 X 1 X X^2 0 X 0 0 0 0 0 0 0 X X^2+X X X X^2+X X^2 0 X X^2 X^2+X X X X^2 X X X 0 0 X^2 0 0 X^2 X^2+X X^2 X^2+X 0 X 0 0 X^2+X X X X^2 X X X X^2+X X^2 X^2+X X^2+X 0 X^2 X X^2+X 0 X^2 0 X X X^2+X 0 X^2 0 0 X 0 0 0 X X^2+X X 0 0 0 X X 0 X X^2 X X^2+X X^2+X 0 X^2 0 X^2 X^2+X X^2 X^2 X X^2+X 0 X X^2+X X X^2 0 X X 0 X X^2 X X X^2+X X^2+X X 0 X^2 X X^2 X 0 X^2+X 0 X X^2 X^2+X X 0 X X^2+X 0 0 0 0 X 0 X X X^2+X 0 X X X^2 0 X^2 X^2+X X X 0 X^2+X X^2+X X^2 X 0 0 X^2 X 0 X 0 X^2+X X^2+X X X 0 X^2+X X^2 X^2 X^2 X X^2 X^2+X X X^2 X^2+X X^2+X X X^2 0 X X X X X X 0 X^2 X^2+X 0 X^2 0 X^2 0 0 0 0 X X 0 X^2+X X X^2 X^2+X X^2+X 0 X^2+X X^2 X^2 X 0 0 X X^2 0 X^2+X X^2 X X X X 0 0 0 X^2+X X^2+X 0 X^2+X 0 X X X 0 X^2+X X^2 X^2 X X^2 X^2 X X^2+X X 0 X X^2 X^2 X^2+X X X^2 X X^2+X X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 generates a code of length 61 over Z2[X]/(X^3) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+163x^50+452x^52+20x^53+754x^54+168x^55+999x^56+408x^57+1690x^58+888x^59+2133x^60+1136x^61+2151x^62+856x^63+1587x^64+456x^65+1058x^66+136x^67+658x^68+28x^69+382x^70+165x^72+64x^74+20x^76+9x^78+1x^82+1x^92 The gray image is a linear code over GF(2) with n=244, k=14 and d=100. This code was found by Heurico 1.16 in 18.4 seconds.