The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 X 1 1 1 1 X^2+X 1 X^2 1 1 1 X 1 0 1 0 1 1 1 X 1 1 X^2+X X^2 X^2 1 1 1 1 1 1 X^2+X 1 1 1 1 1 1 1 X 1 1 1 1 X^2+X 0 1 X^2+X 1 1 1 X 1 X 0 X^2 1 1 X 0 1 1 0 1 1 0 X^2+X+1 1 X X+1 1 1 X^2+1 X^2+X X^2 X+1 1 0 1 1 X^2+X X^2+1 1 X^2+X 1 X+1 1 1 X X+1 1 X^2 1 1 1 1 X^2+1 X^2+1 0 X^2+X+1 X^2+1 X^2+X+1 1 X X X+1 0 0 0 X 1 X^2 X^2+1 X^2+X X^2 1 1 X+1 1 X^2+X+1 1 X^2+1 X^2+X 0 1 1 X 1 X^2+1 X 1 X^2+X+1 X^2 0 0 X 0 X^2+X 0 0 0 X^2 X^2 X^2 0 X X X^2+X X^2+X X 0 X^2+X X X^2+X X X^2+X X^2 X X X^2+X 0 X^2+X X^2+X X 0 0 X^2 0 X^2 0 X^2 0 X^2+X X^2 X^2 0 0 X^2+X 0 0 X^2 X^2 X 0 X X^2+X X^2+X X^2+X X X^2 X^2 0 X^2 X X^2+X X^2+X X^2+X X^2 X X 0 X^2+X 0 0 0 0 0 X 0 0 X X^2 X^2+X X 0 0 0 X X^2+X X^2+X X^2 X X X^2+X 0 X^2 X X^2+X X^2 X^2 0 X^2+X 0 X^2 X X^2+X 0 X^2+X X^2 X^2 0 X^2 X^2+X 0 X^2+X X X^2+X X^2+X X 0 X^2+X X X^2 0 X^2 X^2+X X^2+X X X^2 X 0 X X^2+X 0 X^2+X X^2 0 X X X^2+X X^2 X X X X 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 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 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 generates a code of length 71 over Z2[X]/(X^3) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+39x^62+144x^63+207x^64+362x^65+481x^66+552x^67+649x^68+664x^69+728x^70+738x^71+734x^72+692x^73+610x^74+468x^75+354x^76+262x^77+155x^78+120x^79+73x^80+56x^81+24x^82+20x^83+22x^84+10x^85+9x^86+6x^87+5x^88+2x^89+1x^90+3x^92+1x^94 The gray image is a linear code over GF(2) with n=284, k=13 and d=124. This code was found by Heurico 1.16 in 4.95 seconds.