The generator matrix 1 0 0 1 1 1 0 1 X^2 1 1 X X^2+X 1 1 X^2+X 1 1 1 X 0 1 0 X^2+X X^2 1 1 0 X^2+X 1 1 X^2 1 X^2 1 1 1 X 1 X 1 0 1 1 1 1 X^2 1 X^2+X 1 X 1 X^2+X 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X^2 0 X 1 0 0 1 1 X X 1 X 1 0 1 1 1 X^2 X 0 0 1 0 0 1 X^2+1 1 X 1 1 X^2+X 1 X^2 X^2+X+1 0 X^2+X X^2+1 X+1 X^2+X 1 X^2+X X^2+X+1 1 1 1 X 1 1 1 X^2+X X X^2+X 1 1 1 X^2+1 X^2+X 1 X^2 1 X^2+X 1 X+1 X^2 X^2+X+1 1 0 0 1 0 X^2 0 1 X 0 0 X^2+1 1 X+1 X^2+X+1 X^2+X+1 X^2+X+1 X^2+X+1 X^2+X X^2+X+1 X X+1 1 1 1 1 1 X^2 X 1 X^2+X+1 X^2+X X^2 0 X X 1 X 0 X X^2 X^2+X 1 0 0 1 X+1 X^2+X+1 0 X+1 X^2+1 X^2+X 1 X^2 X^2+1 1 X^2 1 1 X X^2+X+1 X X^2+X 1 X^2+X X^2+X+1 1 X^2 X+1 X^2+X+1 X^2+1 X^2+X X 1 1 0 X+1 X^2+1 X^2+X X+1 0 X^2+X+1 X+1 0 X X X 1 X 1 X+1 X^2+X+1 X^2 1 X^2+X X 1 0 X^2+X X^2+X+1 X^2 X^2+X 0 X^2+1 X+1 X^2+1 X^2 X^2 X+1 0 X^2 X^2 X+1 X+1 X 1 1 1 X^2+X+1 1 1 0 1 X^2 X^2+1 0 X^2+1 X^2+X+1 1 1 1 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 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 generates a code of length 88 over Z2[X]/(X^3) who´s minimum homogenous weight is 83. Homogenous weight enumerator: w(x)=1x^0+288x^83+123x^84+292x^85+128x^86+336x^87+84x^88+212x^89+80x^90+132x^91+38x^92+108x^93+16x^94+88x^95+22x^96+20x^97+44x^99+18x^100+8x^101+8x^103+1x^104+1x^108 The gray image is a linear code over GF(2) with n=352, k=11 and d=166. This code was found by Heurico 1.16 in 28.1 seconds.