The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 X 1 1 X^2+X 1 1 X^2+X 1 0 1 1 1 0 1 X^2 1 1 1 X 1 X^2+X 1 1 1 X^2 1 X^2 1 1 1 1 1 X 1 1 1 X^2+X X^2+X X^2+X 1 1 X X^2+X 0 1 1 1 X^2 X 1 1 0 1 1 0 X^2+X+1 1 X X+1 1 X^2+X 1 X^2+1 X^2+X+1 1 X^2+X 1 1 X^2 1 0 X^2+1 X^2+X 1 X+1 1 0 X^2+X+1 X^2+1 1 X^2+X 1 X^2 X^2+X+1 0 1 X^2+1 1 0 1 0 X^2+X+1 X+1 1 X^2+X+1 X^2 0 1 1 1 X^2+X+1 X^2+X+1 X^2 1 X^2 1 X+1 X^2+X 0 X X^2 0 0 0 X 0 X^2+X 0 0 X X^2 0 X^2 X 0 X^2+X X X^2 X X^2+X X^2+X X^2+X 0 X X X^2 X^2+X X^2 X X X 0 0 X X 0 X^2 X 0 X^2+X X X 0 X^2 X^2+X X^2 0 X^2 0 X X X^2+X X^2+X X^2+X X^2+X X X X^2+X X^2+X X^2 X^2+X X^2 0 0 0 0 X 0 0 X X X^2+X X^2 X X X X^2+X X^2+X X X^2 0 X X^2+X 0 X^2 X^2 0 X^2 X^2 X X^2+X X^2 0 X^2+X X^2 X X^2+X 0 X^2 X^2+X X^2+X 0 X^2+X X^2+X 0 X^2+X X X X^2+X X^2 X^2+X X^2+X X^2+X 0 X X X X 0 0 X X^2 X^2+X 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 0 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 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 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+48x^52+92x^53+214x^54+288x^55+576x^56+408x^57+769x^58+498x^59+1001x^60+554x^61+951x^62+522x^63+855x^64+376x^65+384x^66+174x^67+170x^68+88x^69+90x^70+46x^71+32x^72+16x^73+23x^74+8x^75+5x^76+2x^77+1x^78 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 3.98 seconds.