The generator matrix 1 0 1 1 1 0 1 X^2+X 1 X^2 1 1 1 1 X 1 1 1 1 X^2 1 X^2+X 0 1 X 1 1 X^2+X 1 1 1 0 1 1 1 X^2 1 1 0 1 1 X^2+X 1 1 1 X^2+X X^2 1 X 1 1 1 X X^2 X^2 X 0 0 0 X X^2 X^2 0 X X 0 X X^2+X X^2+X X^2+X 1 1 X X 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 X^2+X 0 1 1 0 X^2+X+1 1 X 1 X+1 1 X^2+X X^2+1 X^2 1 1 X^2+X+1 X X^2 X^2+X+1 1 X 1 1 1 1 X^2+X X+1 1 X^2 1 0 1 X^2+X+1 X^2+X+1 X^2+X 1 X^2+1 X^2+X 1 X^2+1 0 1 X^2+1 X^2+X+1 0 1 1 0 1 X^2 1 X^2+X 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 X^2+X+1 1 1 1 1 X^2 X^2+X 0 X X^2 X^2 0 X^2+X+1 1 X^2+X+1 1 1 X+1 X X^2 1 0 0 X 0 X^2+X X X^2 X X^2+X X 0 X^2+X X 0 X^2 0 X X^2+X X^2 X X X^2 X^2+X X^2 X^2 0 X^2+X 0 X^2 X^2+X 0 X^2+X X 0 X 0 X^2+X X 0 X^2 X X^2+X X^2+X X^2 X X^2+X 0 X^2 X X X^2 X^2+X 0 0 X X X^2 0 X^2 X^2 X^2+X X^2 X^2+X 0 X 0 X^2+X X^2+X X 0 X^2 X^2+X X^2+X X^2 X^2 X 0 X^2+X 0 0 0 X X^2 0 X^2 X^2 X X^2+X X X^2 X^2 0 0 0 0 X 0 X X X X X^2 X^2 X^2+X X^2 X^2+X X X^2+X X^2 X^2+X X^2 X^2 X^2+X X X X^2 X^2+X X^2 X X^2 X^2+X X^2 0 0 X^2 X^2+X X^2 X^2+X X^2+X 0 X^2 0 X^2+X 0 X^2 0 X X 0 X^2+X 0 0 X^2+X X^2+X 0 X X^2+X X X X^2+X X^2 X^2+X 0 X^2 X X^2 X^2+X X^2 X^2 0 X^2 X X^2 X^2 X^2+X X^2 X^2+X X X^2 X X X^2 X^2+X X^2 X X X X^2 0 X X X^2 X 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 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 0 0 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 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+231x^86+352x^88+348x^90+292x^92+329x^94+244x^96+150x^98+65x^100+17x^102+2x^104+6x^106+2x^108+5x^110+2x^118+1x^128+1x^132 The gray image is a linear code over GF(2) with n=368, k=11 and d=172. This code was found by Heurico 1.16 in 1.24 seconds.