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 1 X^2 1 X 1 X^2+X 1 1 1 1 X 1 0 1 1 1 1 1 X^2+X X^2 1 X^2+X 1 1 1 0 1 X^2+X 1 1 1 X^2 0 1 1 0 1 1 1 1 0 X^2+X 1 0 1 1 X^2+X 1 X 1 1 1 0 1 0 1 1 1 X^2+X 0 1 1 X 1 1 X 1 X^2+X 0 X 1 1 1 X 1 X^2 1 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 X^2+X+1 1 X^2 1 1 1 X^2+1 X^2+X X+1 X 1 1 1 X^2 1 X^2+1 X^2+X X+1 1 1 X 1 0 X^2 X^2+X+1 1 X 1 X 0 X^2+X+1 1 1 X^2+1 X^2+1 1 X^2+X+1 X^2 X X^2+X+1 1 1 X^2+X+1 1 X^2+X+1 X^2+1 1 X^2 1 X^2 X^2+X X^2+X+1 1 X 1 X X+1 X^2+X+1 1 1 X^2 X^2+X+1 1 X X 1 X^2 1 1 X X+1 X^2+X+1 X^2+X 1 X^2 X^2 X^2+X 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^2 X X 0 X^2+X X X^2 X^2 0 X^2 X X X^2 X^2 X^2 X X^2+X 0 0 X 0 X^2 X^2+X X^2 X^2 X^2+X X X X^2 X 0 X X^2 0 X X^2+X X X^2 X^2+X 0 0 X^2 X^2 0 X^2+X X^2+X X 0 0 0 X^2+X X^2 X^2+X 0 X^2+X X^2 X^2+X X^2+X X^2 X^2+X 0 X 0 0 0 X X^2+X 0 X^2 X^2 X 0 X 0 X 0 X^2 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 X^2+X 0 X X^2+X X^2 0 X^2 X X X^2+X X X X^2+X X^2+X X^2 X^2 0 X^2 X^2+X X X^2 0 0 0 0 X^2+X X 0 X X 0 X^2 X^2+X X^2 X 0 X 0 X^2+X X^2+X X^2+X X^2 X^2+X X^2+X X X^2+X X X^2 0 X^2+X X^2 0 X^2+X X 0 0 X X^2 X^2 X^2 X^2 X^2+X X^2+X X X^2+X 0 X 0 X^2+X X^2+X X^2+X X X^2+X X^2 X^2+X 0 X^2+X 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 X^2 X^2 X^2 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 0 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 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 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 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 X^2 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 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 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 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 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 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 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 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 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 0 X^2 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 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 generates a code of length 97 over Z2[X]/(X^3) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+162x^86+48x^87+427x^88+244x^89+675x^90+452x^91+1114x^92+796x^93+1356x^94+1036x^95+1543x^96+1048x^97+1539x^98+976x^99+1181x^100+760x^101+1016x^102+512x^103+617x^104+212x^105+243x^106+44x^107+159x^108+12x^109+86x^110+4x^111+56x^112+31x^114+14x^116+12x^118+4x^120+3x^124+1x^132 The gray image is a linear code over GF(2) with n=388, k=14 and d=172. This code was found by Heurico 1.16 in 26.3 seconds.