The generator matrix 1 0 1 1 1 X^2 X 1 1 1 X^2+X 1 1 1 X^2+X 1 1 X^2+X 1 1 X^2 1 1 X^2 1 1 X^2 1 1 X^2 0 1 1 1 X^2+X 1 X 1 X^2 1 1 X^2+X 1 1 X^2+X 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 0 1 1 X^2+X X^2+X+1 1 1 X+1 X X^2+1 1 X^2 X X+1 1 X X+1 1 0 1 1 0 1 1 0 X^2+X+1 1 X^2+X 1 1 1 X^2 X^2+X+1 X 1 1 1 0 1 0 X 1 X^2+X+1 X 1 X^2+1 X^2+X+1 1 X^2+X X+1 X^2+1 X^2+X+1 1 X+1 X^2+1 X+1 X^2+1 X+1 X+1 1 X^2+1 X^2+X+1 X^2+1 X^2+X+1 X^2+1 X^2 0 X^2 X^2 X^2+X X^2+X X^2+X 0 0 X^2+X X^2 X^2+X X X X^2 X X 0 X^2+X X^2+X X 0 X^2 X X^2 X^2 X X^2 0 0 X 0 X^2+X X X X^2 X X^2 0 X X^2+X X^2 0 0 X X^2+X 0 X^2+X 0 X^2+X X^2 X^2+X 0 X X 0 X X^2+X 0 X^2+X X^2 X^2+X 0 X^2 X 0 0 X 0 X^2+X X^2 X 0 X^2 X X X^2 X^2+X X^2+X X^2+X X 0 X^2 0 X^2 X^2+X X X^2+X X^2+X X^2 0 X^2 0 0 X^2 X^2 X X^2+X X^2 0 X X^2+X X^2 0 X^2+X X^2 X X^2+X X 0 X^2 X^2 X^2 0 X^2 X X^2+X 0 X X^2+X X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 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 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 X^2 X^2 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 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+42x^88+102x^89+158x^90+72x^91+130x^92+192x^93+40x^94+48x^95+49x^96+88x^97+54x^98+8x^99+14x^100+18x^104+2x^106+1x^114+2x^120+2x^121+1x^146 The gray image is a linear code over GF(2) with n=372, k=10 and d=176. This code was found by Heurico 1.16 in 0.689 seconds.