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 1 1 1 1 0 X X^2 X X^2 X 1 X 0 X 0 X X^2 X X^2 1 1 1 0 X 0 0 0 0 0 0 0 0 X^2 X X X^2+X 0 X^2+X X^2+X 0 X X^2 X^2+X X^2 X X X X^2 X 0 X X^2 X^2+X X X^2+X X^2+X X^2+X X^2+X X 0 X^2 0 X^2 X 0 0 X^2+X X^2 X X X X^2+X 0 X X^2 X X^2+X X^2 0 0 0 X^2 0 0 0 X 0 0 0 0 0 0 0 X^2+X X^2 X X X X 0 X 0 X X^2+X X^2 0 X^2+X X X X^2+X X^2+X X^2 0 X^2+X 0 X^2 X^2+X X 0 X^2 X^2+X X X^2 X^2 X^2+X X 0 X^2+X X 0 X^2 X^2+X X^2+X X^2 X^2+X 0 0 X^2 X^2 X X^2 X^2+X X^2+X X^2 0 0 0 X 0 0 0 X X^2+X X X X^2+X 0 X X^2 0 X^2+X X^2+X X^2+X X^2 X^2+X X 0 X^2 0 X^2 X X X X^2 X 0 X^2+X 0 X X^2+X 0 X^2 X 0 X^2 0 X^2+X X X^2 X X^2 0 X X^2 0 X X 0 X X^2 X^2 X X 0 0 0 0 0 0 X 0 X X X X^2 X X X X^2 X^2 X^2+X X^2+X X^2 X^2 X^2+X X^2+X X X^2+X X^2 X^2 X 0 X^2+X X^2 X^2+X X^2+X X X^2+X X 0 X^2+X X^2+X X^2+X X^2 X^2 0 X X^2 X 0 0 X 0 X X X^2+X X X^2 0 X 0 X^2+X 0 X^2 X^2+X X^2+X 0 0 0 0 0 X X X^2 X^2+X X^2+X X X X^2+X 0 X X^2 X^2 X^2 X^2+X X 0 X^2 X^2 0 X 0 X X^2 X^2 X^2+X X^2+X X^2+X X^2+X 0 X^2 X^2 X^2 X X^2 X^2 X^2+X X^2 X X X 0 0 X^2+X 0 X^2+X X X 0 X^2 X^2+X X X^2 X X^2+X 0 X 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 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+74x^50+162x^51+232x^52+286x^53+341x^54+570x^55+691x^56+854x^57+1114x^58+1394x^59+1609x^60+1606x^61+1764x^62+1510x^63+1111x^64+938x^65+584x^66+416x^67+348x^68+240x^69+189x^70+152x^71+93x^72+40x^73+28x^74+20x^75+11x^76+4x^77+1x^78+1x^94 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 18.9 seconds.