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^2+X 1 1 1 1 1 1 1 1 X^2+X 0 1 1 X^2 1 1 1 0 1 1 1 X 1 X^2 1 1 0 1 X^2 X 1 1 0 0 1 0 1 1 1 1 1 1 X 1 X 1 X^2 1 1 1 1 1 1 X X^2+X X 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 1 X 1 X^2+X+1 X^2 1 1 X^2+X+1 X^2 X^2+1 0 X X+1 X^2+1 X+1 1 1 X^2 1 1 X^2 X^2+X X^2 1 1 X^2+X+1 X+1 1 X 1 X^2+X+1 X^2 1 X+1 1 0 X^2+X+1 0 1 1 X^2 1 0 X^2+X X+1 1 X 0 X^2 0 X^2+X X^2 0 X^2+1 X+1 X^2+1 X^2+X X+1 X+1 1 1 X^2 X^2 X^2 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^2 0 X^2+X X X X^2+X X^2+X X^2+X 0 0 X^2+X X^2 X^2+X X^2 X^2+X 0 X^2+X X X^2+X X 0 X^2+X 0 X^2+X 0 X^2+X X X^2 X^2 X^2 X X^2+X X^2 X^2+X X X 0 X^2+X X^2+X 0 X^2+X X^2 X^2 X X^2 X X X^2+X X X^2+X X X X^2+X X^2+X X^2 0 X^2+X 0 0 X^2 X X^2+X 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 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 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 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 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 X^2 0 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 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 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 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 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 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 0 0 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 X^2 0 X^2 X^2 0 0 0 0 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 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 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 0 0 X^2 0 0 X^2 X^2 X^2 X^2 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 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 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+16x^86+76x^87+112x^88+190x^89+263x^90+430x^91+556x^92+654x^93+759x^94+1036x^95+1082x^96+1216x^97+1327x^98+1196x^99+1346x^100+1160x^101+1160x^102+880x^103+736x^104+642x^105+438x^106+362x^107+173x^108+178x^109+100x^110+80x^111+65x^112+48x^113+23x^114+28x^115+9x^116+8x^117+4x^118+8x^119+10x^120+5x^122+3x^124+1x^126+2x^128+1x^132 The gray image is a linear code over GF(2) with n=396, k=14 and d=172. This code was found by Heurico 1.16 in 27.1 seconds.