The generator matrix 1 0 0 0 1 1 1 1 X^2+X 1 1 1 X^2+X X X^2 X^2+X X 1 X^2 1 X 1 1 1 0 1 X^2+X 1 1 0 X^2+X X^2 1 1 X^2 X^2 1 X^2+X X^2 1 X^2+X 1 0 1 1 1 X 1 1 1 X 1 1 1 1 X^2+X 1 1 1 0 0 1 X 1 1 X^2 1 0 0 0 0 0 X X^2 0 1 1 X^2 1 1 1 0 X^2+X X 1 X^2+X X X^2 1 0 1 0 0 0 X^2 1 X^2+1 1 X^2 X^2+X+1 X+1 1 1 0 1 X^2 1 1 X^2 X X^2 1 X+1 X^2+X 0 1 X+1 X^2+X X^2+X X^2 1 X^2+1 X 1 1 X^2 1 1 X^2 X^2+X X+1 X 0 X+1 X 1 X^2+X+1 1 X^2 1 1 X+1 X^2+X+1 X^2 X X^2+1 X^2+X 1 0 1 0 X X^2 X X^2+X X^2+X+1 X^2+X 1 1 1 1 0 1 1 X^2 X^2+1 1 X+1 0 X^2+X 1 1 X X+1 1 X 0 X^2+X 0 0 1 0 0 X^2+1 X^2 1 1 X+1 X^2+X+1 X^2 X+1 X 1 1 1 0 X^2+X+1 X 1 1 X^2 X^2+1 0 X+1 1 X^2+X+1 X^2 1 1 X^2+X+1 X^2+X X^2+X+1 X^2+X 0 0 X X+1 X 1 X^2+X 0 1 X^2+1 X^2+X+1 X^2 1 X^2 X^2+X X X+1 X^2+X X 0 1 X+1 X+1 X 1 0 X^2+X X^2 X^2 1 X^2 X^2+X+1 1 X^2+X X^2 X X^2+X 1 X^2+X+1 1 X^2 0 1 X^2+1 X 1 X 0 1 X^2+X 0 1 1 X 0 0 0 1 1 1 X^2+1 X 1 0 X+1 0 X 1 X+1 X^2+X X^2+X+1 X^2 X+1 X^2 0 X+1 X+1 X^2+1 1 X^2 X^2+X 0 1 1 0 X^2+X+1 X^2+1 X^2+1 1 X^2 X 1 X^2+X X^2+X+1 X^2+X X 1 0 X^2+X X^2+1 X^2 0 X^2+X X X^2+X X+1 X^2 X^2+X+1 X X+1 X X^2+X X+1 X+1 X 1 1 X^2+1 1 1 1 X^2+X+1 X^2+1 1 X^2+X+1 X+1 0 X^2+X 0 X+1 0 X^2+1 X^2+X X^2+X+1 X^2+X X^2+X+1 X+1 X^2+X+1 X+1 0 X+1 X+1 X 0 0 0 0 X 0 0 0 0 X X X X X X X X X^2+X X^2 X^2 0 X^2+X X X^2 X^2+X 0 X^2 X^2 X^2 0 X X X^2+X X X X X X^2 0 X 0 X^2 X^2 X^2+X 0 0 X^2 X X^2+X X^2+X X^2+X X^2+X X^2+X 0 0 X^2 0 X^2 0 X^2 X^2 X^2+X X^2+X 0 X^2 0 X^2 X X^2+X X^2 X^2+X X 0 X X 0 X 0 X 0 X X^2 X^2+X X^2+X X 0 X X^2 0 generates a code of length 89 over Z2[X]/(X^3) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+156x^80+468x^81+682x^82+768x^83+963x^84+1052x^85+1279x^86+1304x^87+1172x^88+1318x^89+1246x^90+1130x^91+905x^92+906x^93+836x^94+682x^95+543x^96+344x^97+274x^98+136x^99+78x^100+66x^101+33x^102+10x^103+15x^104+2x^105+2x^106+2x^107+6x^108+4x^109+1x^112 The gray image is a linear code over GF(2) with n=356, k=14 and d=160. This code was found by Heurico 1.13 in 5.67 seconds.