The generator matrix 1 0 1 1 1 X^2+X 1 1 0 X^2 1 1 X^2+X 1 1 X 1 1 1 0 1 1 X^2+X 1 1 X^2 1 X^2+X 1 1 0 1 1 1 X 1 1 1 1 1 X^2+X 0 1 0 1 1 X^2+X X 1 1 1 1 1 X^2 X^2+X 1 1 1 1 0 X 1 1 1 1 1 1 0 X^2 1 1 X^2+X 1 1 0 1 X 1 1 0 1 X 1 1 X X^2+X 1 1 X^2 X^2+X 1 X X^2+X 0 1 1 X^2+X X^2 1 0 1 1 0 X^2+X+1 1 X X+1 1 1 0 X^2+1 1 X X^2+1 1 X+1 X^2+X X 1 X^2 X^2+X+1 1 1 X+1 1 X^2+X+1 1 X^2+X X^2+X 1 X^2+X+1 1 X^2 1 0 X^2+1 0 0 X^2+X+1 1 1 1 1 X^2+1 X^2 1 1 1 X^2+X X X^2+X+1 X^2+X+1 1 1 X X^2+1 X+1 X^2+1 1 1 X^2 X^2+X 1 X+1 X^2 X^2+X 1 1 X X^2 1 X+1 X^2+X+1 1 0 1 X+1 0 1 X^2+1 X X+1 X^2 1 1 X+1 X+1 1 1 X^2+X+1 X^2+X 1 1 X+1 X^2 1 1 X 0 0 X 0 X^2+X 0 0 X X^2+X X X X X^2 X 0 X^2+X X^2 X 0 X^2 X X^2 X 0 X^2+X X^2+X 0 X^2 X^2+X X^2 0 X^2+X X^2+X 0 X^2 0 X^2 X^2+X 0 X^2 X 0 0 X X X^2 X^2 X X^2 X X^2+X X X^2 0 0 X X X^2 X^2 X X^2+X 0 0 X^2+X X^2+X X^2 0 X 0 X^2+X X^2 0 X^2+X X^2 X^2+X 0 X^2 X^2 X 0 X X X^2+X X^2+X X^2+X X^2+X X^2+X 0 X^2+X 0 X^2+X X^2+X X^2+X X X^2 X^2+X X X^2+X X 0 0 0 X 0 0 X X X 0 X X^2+X X X^2 X^2 X^2 0 X^2+X 0 X^2+X 0 X X X^2+X X^2+X X^2 X^2 0 X^2+X X^2 0 X^2 X^2 X X^2+X 0 X^2 X X^2 X X^2+X X X^2+X X X X X 0 0 X^2+X 0 X 0 0 X^2 X^2 X^2 X^2 X^2 X X^2+X 0 X X X X^2+X X X^2+X X X^2 X^2 0 X^2 X X^2 0 X^2 X^2+X X X^2+X X^2+X X^2+X X^2 X^2+X X^2 X^2+X X^2+X X 0 X^2 X^2 X^2+X 0 X^2+X X^2 X 0 X^2+X 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 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 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 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 0 X^2 0 X^2 0 X^2 X^2 0 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 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+179x^88+32x^89+424x^90+244x^91+786x^92+516x^93+1092x^94+744x^95+1205x^96+984x^97+1498x^98+1080x^99+1624x^100+1008x^101+1232x^102+784x^103+966x^104+488x^105+518x^106+212x^107+320x^108+44x^109+172x^110+8x^111+105x^112+38x^114+52x^116+16x^118+6x^120+2x^122+2x^124+1x^128+1x^136 The gray image is a linear code over GF(2) with n=396, k=14 and d=176. This code was found by Heurico 1.16 in 28 seconds.