The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 X^2+X 1 1 1 0 1 1 X^2+X X^2 1 1 1 1 X 1 1 0 1 1 X^2+X 0 1 1 1 1 X^2+X 1 1 0 1 1 X^2+X X^2 1 1 1 1 X 1 X 1 X 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X^2 1 0 1 1 1 X X^2 X^2+X 1 1 1 X^2 1 X 1 1 X X^2+X 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X 1 X^2+1 X+1 0 1 X^2+X X^2+1 1 1 X^2 X^2+X+1 X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 1 0 X+1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 1 X^2 X^2+X+1 X 1 1 0 0 X^2+X X^2 X^2 X 0 X^2 X^2 X^2+X X X^2 0 X X X^2 X^2+X 0 X+1 X^2+X+1 1 1 X^2+X 1 X^2+1 1 X^2 1 X 1 X+1 0 0 1 1 X^2+X X^2+X+1 X^2+1 1 1 0 0 X^2 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 X^2 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 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 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 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 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+112x^83+53x^84+176x^85+62x^86+112x^87+57x^88+128x^89+41x^90+120x^91+15x^92+80x^93+11x^94+32x^95+2x^96+11x^98+8x^99+3x^118 The gray image is a linear code over GF(2) with n=352, k=10 and d=166. This code was found by Heurico 1.16 in 45.8 seconds.