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 1 0 1 1 1 X 1 1 0 X^2+X 1 1 X^2+X 1 1 X^2+X 1 1 1 X 1 1 1 1 1 X 1 1 X^2 X 1 1 1 1 X^2+X 1 0 1 X 1 0 1 1 X 1 1 X 1 X^2 0 1 1 1 0 1 1 X^2 1 1 0 1 X^2 1 1 X 1 X X^2 1 1 1 1 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 1 1 X X^2+1 1 X+1 1 X^2 1 X^2+X+1 1 X X^2 1 1 X^2+X+1 X 1 X^2+1 X 1 X^2+1 X^2+1 0 1 X^2+X X^2+X X^2+X X^2+1 0 1 0 X+1 1 1 X^2+X X^2+X+1 X+1 X+1 1 0 1 1 1 0 1 X+1 0 1 X^2+X X^2+X+1 1 X^2+X 1 1 0 X^2+X+1 X^2 1 1 0 1 X^2+X+1 X^2+1 0 1 X X^2 X^2 X X^2+X X 1 1 X^2 0 0 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 0 X^2 0 X^2+X X^2 X 0 X X^2+X X^2+X X X^2+X 0 0 X^2+X X X^2+X X^2 X^2 0 X^2 X^2 0 X^2+X 0 X^2+X X^2 X^2+X X X^2 X^2+X X^2 X X X^2 X X^2 X 0 0 X X^2+X X^2+X X^2 X^2 X^2 0 X^2 X^2 X^2 X X X^2 0 X 0 X X X^2+X X X^2 X^2+X X X X X X^2 X^2 X X^2 X X X^2 0 X^2 0 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 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 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 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 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 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 generates a code of length 97 over Z2[X]/(X^3) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+40x^84+20x^85+154x^86+60x^87+439x^88+244x^89+712x^90+480x^91+1034x^92+708x^93+1368x^94+1036x^95+1526x^96+1064x^97+1473x^98+960x^99+1178x^100+828x^101+1012x^102+436x^103+666x^104+196x^105+291x^106+96x^107+169x^108+12x^109+73x^110+4x^111+38x^112+27x^114+16x^116+8x^118+7x^120+1x^122+3x^124+1x^126+3x^128 The gray image is a linear code over GF(2) with n=388, k=14 and d=168. This code was found by Heurico 1.16 in 25.9 seconds.