The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 X 1 X^2 1 1 1 1 0 1 1 X^2+X 1 1 X^2+X 1 1 X^2 X^2 1 1 0 X^2+X 0 1 1 1 1 1 1 X^2+X X^2+X 1 1 1 1 0 1 1 X X^2+X 1 1 1 X X 1 1 X^2 X^2+X 1 1 1 0 1 1 X^2+X 1 1 X X 0 X^2 1 0 1 X 1 X^2 1 1 X^2 X^2+X 1 0 X^2 0 X^2 1 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X 1 X^2+1 1 0 X^2+X+1 X^2 X^2+X+1 1 X^2+X 1 1 X^2+X 1 1 0 0 1 1 X+1 X+1 1 1 1 X^2+1 X^2 X^2+1 X^2+X+1 X+1 X^2 1 1 X X X^2 1 1 X^2+X 1 1 1 X^2+X+1 X X 1 1 X+1 X 1 1 X X^2+X+1 X^2+1 1 X 1 1 1 X^2+X 1 X^2 X X 0 1 X^2+1 1 1 X 1 X^2 X 1 0 1 1 1 X 0 0 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2+X X X^2 X X^2 X X X^2 X^2 X X^2+X X^2 X^2 0 X^2+X 0 0 X X 0 0 0 0 X^2 X^2 X 0 X X X X^2 X^2 X^2+X X X X^2+X X 0 X X X X^2+X 0 0 X^2+X X^2 X^2+X X X X^2 X^2 X^2+X X^2 0 X X 0 0 0 0 X^2+X X X^2+X 0 X X X^2+X X^2 X^2+X 0 X^2 X 0 0 X^2+X X^2 0 X 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 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 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 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 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 X^2 0 0 0 0 0 X^2 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 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 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 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 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 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 generates a code of length 88 over Z2[X]/(X^3) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+53x^76+84x^77+137x^78+270x^79+387x^80+482x^81+640x^82+898x^83+941x^84+1174x^85+1252x^86+1194x^87+1385x^88+1278x^89+1368x^90+1148x^91+943x^92+816x^93+525x^94+474x^95+306x^96+238x^97+119x^98+82x^99+58x^100+22x^101+34x^102+30x^103+15x^104+2x^105+14x^106+3x^108+4x^110+2x^112+3x^114+1x^116+1x^124 The gray image is a linear code over GF(2) with n=352, k=14 and d=152. This code was found by Heurico 1.16 in 22.5 seconds.