The generator matrix 1 0 1 1 1 X^2+X 1 1 0 X^2+X 1 1 1 X^2 1 X^2+X 1 1 1 1 X X^2 1 1 1 X^2+X 1 X 1 1 X^2 1 1 1 0 1 1 1 1 0 X^2 1 X^2 1 1 0 1 1 X 1 1 0 1 1 X^2 1 1 1 X^2+X 1 1 1 X X X^2 1 X^2 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 X^2+X 1 X X 0 1 1 0 X^2+X+1 1 X X+1 1 1 X^2+X X^2+1 X^2 1 1 1 1 X X+1 0 1 1 X+1 X X+1 1 0 1 1 X 1 1 X^2+X X 1 X^2+X+1 X^2+X X^2+1 X^2 1 1 X^2+1 1 X^2+X 0 1 X X^2+1 1 0 X^2+X 1 X^2 1 1 0 X^2+X+1 X+1 1 X^2+1 X+1 1 1 1 1 X^2 1 1 X^2+X+1 X+1 X^2+X 1 X X X^2+X+1 X^2+1 X^2 X X+1 X^2+1 X 1 X 1 X^2+X 1 1 0 0 X 0 X^2+X 0 0 X X^2+X X X^2 X X X 0 X^2 X^2 X 0 X X^2+X 0 X^2 X^2+X X^2+X X^2+X 0 X^2+X X^2 X^2+X X^2 X X X^2+X X^2 X^2 X^2 X^2 X^2 X X^2+X X X X^2 X^2+X X X X^2+X X^2+X X^2 X^2+X X^2 0 X^2 X^2+X 0 0 X 0 X^2 0 X X^2 0 0 X^2 X^2+X X^2 X^2 X^2 X^2 X X^2+X X^2+X X^2 X^2 0 0 0 X X^2+X X^2+X X^2 X X^2+X X 0 0 0 0 X 0 0 X X X X 0 X 0 X^2 X^2+X X^2+X 0 X^2 X^2+X X 0 X^2+X X^2 X X^2+X X 0 X^2 X 0 X^2+X X^2 0 X X^2 0 X^2 X^2 X X^2+X X^2+X X^2+X 0 X^2 X^2+X 0 X 0 0 X X^2 0 0 X^2 X^2 X X X^2+X X^2 X^2+X 0 X^2+X X^2 X 0 X^2 X 0 X^2+X X^2 X^2+X 0 X^2 X^2 X^2+X 0 0 X^2+X X 0 X^2+X 0 X X^2 0 X^2 X 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 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 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 0 0 0 X^2 X^2 X^2 generates a code of length 87 over Z2[X]/(X^3) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+82x^76+138x^77+168x^78+440x^79+455x^80+782x^81+546x^82+1342x^83+875x^84+1588x^85+945x^86+1826x^87+1021x^88+1508x^89+888x^90+1314x^91+533x^92+694x^93+308x^94+388x^95+182x^96+122x^97+62x^98+42x^99+44x^100+28x^101+19x^102+18x^103+5x^104+4x^105+6x^106+6x^107+1x^108+2x^114+1x^116 The gray image is a linear code over GF(2) with n=348, k=14 and d=152. This code was found by Heurico 1.16 in 21.9 seconds.