The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 X^2+X 1 1 1 0 1 X^2 1 X^2+X 1 1 X 1 1 1 0 1 1 X^2+X 1 1 0 1 1 0 1 X^2+X 1 1 1 1 1 0 1 0 1 1 1 0 X^2+X 1 1 X^2 1 1 1 X^2+X 1 0 0 X 1 X^2 1 1 X^2+X 1 1 X^2 1 X^2+X 0 1 1 X^2+X 0 1 X 1 1 1 1 1 0 1 1 1 1 1 X 1 1 X 1 1 X 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 X^2+X 1 X+1 0 X^2+1 1 X^2 1 X^2+1 1 X^2+X X+1 1 X+1 X^2+X X^2+X+1 1 0 X^2+1 1 X^2+X X^2+1 1 0 X^2+X 1 X+1 1 X^2+1 0 X+1 X^2+X X^2+1 1 0 1 X^2 X^2+1 X 1 1 X+1 0 1 0 X+1 0 1 1 1 1 1 X^2+1 1 X+1 X^2+X+1 1 0 X+1 1 X^2+1 1 1 X^2 1 1 1 X^2+X 1 0 X^2+X+1 X^2+X X^2+1 X^2 1 X^2+X+1 X^2+X X 0 X+1 1 X^2+1 X^2 X^2+X X^2+X 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 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 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 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 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 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 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 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 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 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 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 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 0 0 X^2 X^2 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+88x^86+194x^88+72x^89+367x^90+228x^91+561x^92+456x^93+1060x^94+788x^95+1297x^96+1008x^97+1611x^98+1064x^99+1653x^100+1008x^101+1221x^102+744x^103+1014x^104+456x^105+565x^106+244x^107+298x^108+72x^109+141x^110+4x^111+64x^112+41x^114+10x^116+15x^118+16x^120+8x^122+5x^124+3x^126+6x^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 28 seconds.