The generator matrix 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 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 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 1 1 1 1 1 1 X^2 0 X 0 X 0 0 X^2+X X^2+X 0 0 X X^2+X 0 0 X^2+X X 0 0 X X 0 0 X^2+X X^2+X 0 0 X X^2+X 0 0 X^2+X X X^2 X^2 X X X^2 X^2 X^2+X X^2+X X^2 X^2 X X X^2 X^2 X^2+X X^2+X X^2 X^2 X X X^2 X^2 X X X^2 X^2 X^2+X X^2+X X^2 X^2 X^2+X X^2+X 0 X^2 X X^2+X 0 X^2 X X^2+X 0 X^2 X X^2+X 0 X^2+X X^2 X X^2 X^2+X 0 X X^2 X^2+X 0 X X^2 X 0 X^2 X 0 X^2+X 0 X^2+X 0 0 0 X X 0 X^2+X X^2+X 0 0 X^2+X X 0 0 X X^2+X 0 X^2 X^2+X X^2+X X^2 X^2 X X X^2 X^2 X^2+X X^2+X X^2 X^2 X X X^2 X^2 X X X^2 X^2 X X^2+X 0 X^2 X X X^2 X^2 X X^2+X 0 0 X^2+X X^2+X 0 0 X^2+X X^2+X 0 0 X^2+X X X^2 0 X^2+X X X^2 0 X X 0 0 X X 0 0 X X X^2 0 X^2 X^2+X X^2+X 0 X X^2+X X^2 X^2 X X^2+X 0 X^2 X^2 X^2 0 0 X^2+X X^2+X X X X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 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 0 0 0 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 X^2 X^2 X^2 X^2 0 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 0 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 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 generates a code of length 98 over Z2[X]/(X^3) who´s minimum homogenous weight is 96. Homogenous weight enumerator: w(x)=1x^0+318x^96+128x^100+64x^104+1x^192 The gray image is a linear code over GF(2) with n=392, k=9 and d=192. This code was found by Heurico 1.16 in 37.4 seconds.