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 1 X^2+X X 1 1 1 1 1 1 1 1 0 1 1 X^2+X X^2+X X 1 1 1 1 1 X X 1 X^2 1 1 1 1 1 X 1 X^2 1 1 1 X^2 1 0 0 1 1 1 1 X X X 1 1 X^2 1 X^2 0 X^2+X X^2+X 1 X^2+X 1 1 X^2 0 X^2+X 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^2+X 1 1 X^2+X 1 1 0 0 1 1 X+1 X+1 1 X^2+1 1 1 X^2 X X^2+X+1 X^2+X+1 X 1 X X^2+1 1 X^2+X+1 0 1 1 1 X X+1 X 1 X^2 1 1 0 1 X+1 X^2+1 X^2+X X^2+1 X^2+X+1 1 1 1 X^2+X X^2 0 1 X^2+1 1 1 0 X+1 X X^2+X+1 1 0 X^2+X 1 1 1 1 1 0 1 1 1 1 X 1 X^2 1 1 X^2+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 X^2 X^2 X^2 X X X X X^2+X X^2+X 0 X^2 X^2 0 0 0 X X X X X^2+X X X^2 X^2+X X^2+X 0 0 X^2 X X^2 X^2 0 X X X^2+X X^2 X^2+X X X^2 X^2 X^2 X^2+X X^2+X X^2 X X^2+X X X X^2+X X^2 X^2 0 X^2+X X X X X^2+X X^2+X X^2+X X^2 X X 0 0 X^2 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 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 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 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 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 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 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 0 0 X^2 X^2 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 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 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 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 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 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 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 X^2 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 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 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 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 generates a code of length 96 over Z2[X]/(X^3) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+55x^84+74x^85+189x^86+284x^87+408x^88+514x^89+703x^90+832x^91+974x^92+1158x^93+1214x^94+1216x^95+1209x^96+1346x^97+1194x^98+1152x^99+1046x^100+754x^101+575x^102+520x^103+308x^104+194x^105+155x^106+76x^107+74x^108+46x^109+33x^110+12x^111+15x^112+10x^113+16x^114+4x^115+3x^116+12x^118+2x^120+4x^122+1x^126+1x^128 The gray image is a linear code over GF(2) with n=384, k=14 and d=168. This code was found by Heurico 1.16 in 25.8 seconds.