The generator matrix 1 0 1 1 1 X^2+X 1 1 X 1 1 X^2 X^2+X 1 X^2+X 1 1 1 0 1 1 1 1 X^2 X^2 X^2+X X^2 X 0 X^2+X 0 X^2+X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 X^2 1 X^2 0 1 X^2+X 1 1 1 1 X X X 1 X^2+X 1 1 X 1 1 X 1 X^2+X 1 1 0 1 1 X^2+X X^2+X+1 1 X^2 X+1 1 X X^2+1 1 1 0 1 X+1 0 X+1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 0 X^2+X X^2 X X+1 X^2+1 0 X^2+X X^2 X X^2+X+1 1 0 X X+1 X 0 1 X^2+X X^2 X^2 X X^2 X^2+X X^2+X X^2 X X^2 X^2 X^2+X 1 1 X+1 1 1 X 1 X^2+X+1 X^2+X+1 X 1 0 1 1 0 1 X+1 X^2+X+1 X^2+X X^2 X^2+X+1 1 X^2 1 X 1 0 0 X 0 X^2+X 0 X X^2 X X^2+X 0 X^2+X X^2 X^2 X X^2 X X X^2 X^2+X X^2+X X^2 0 X^2+X 0 0 X X 0 0 X X 0 0 X X X^2 X^2 0 0 X X X X^2+X X X X X^2 0 X^2+X X^2+X X^2+X 0 X^2 0 0 X^2+X X^2+X X X X^2 X^2 X X^2+X X^2 X^2 0 0 X^2 0 X^2+X X^2 0 X X X^2 X^2+X X^2+X X^2+X X X^2+X X X^2 0 0 X^2 0 X 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 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 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 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 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 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 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 generates a code of length 88 over Z2[X]/(X^3) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+216x^82+362x^84+370x^86+283x^88+313x^90+248x^92+154x^94+58x^96+20x^98+6x^100+12x^102+3x^106+1x^120+1x^128 The gray image is a linear code over GF(2) with n=352, k=11 and d=164. This code was found by Heurico 1.16 in 1.22 seconds.