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 1 1 1 1 1 1 0 X 0 0 0 X X^2+X X^2+X 0 0 0 0 X^2+X X X X^2+X 0 0 0 0 X X^2+X X^2+X X 0 0 X^2 X X^2 X X^2+X X^2+X X^2 0 X X^2+X X^2+X X^2 X^2 X X X X^2+X X 0 X^2 X^2 0 X^2+X X X^2+X X^2 X^2 X^2+X 0 X^2 X X^2+X 0 X^2 X 0 X^2 X X^2 X X^2 0 X X^2 0 X X^2 X X^2 X^2+X X^2+X X^2 X X^2+X X X 0 X^2+X X^2 X^2+X X^2 X^2 0 0 X^2+X X 0 X^2 X^2+X X 0 0 X 0 X X X X^2 X^2 X^2 X X X X 0 X^2 0 X^2+X X^2 X^2+X X^2+X X^2+X 0 X^2 X^2 0 X^2+X 0 X^2+X 0 X^2+X X X^2+X X^2 X 0 0 0 X X 0 X 0 X^2+X X X 0 X^2 X^2 X^2+X 0 X^2+X X^2 X^2+X X^2+X 0 X^2 X X X^2 X X^2+X 0 0 0 X X^2 0 X^2 X^2+X 0 X^2 X 0 X X^2+X X X^2+X 0 X X^2 X^2+X X^2 0 X X^2 X^2 X^2+X X^2+X X X^2+X X 0 X^2 X^2+X X^2 0 0 0 X X 0 X X X X^2 X X^2 X^2 X X X^2 0 X^2+X X^2+X 0 X^2 X^2+X X^2+X X^2 X^2 X^2+X X X^2+X X^2 X^2 X^2 X 0 X^2+X X^2 X^2 X X^2 X X^2+X X X^2 0 X X^2+X X^2 X^2+X 0 X^2 0 X^2+X X X^2+X X 0 0 X 0 X^2+X X X^2+X X^2 0 0 X^2 0 0 X 0 X^2+X X^2+X X 0 X^2+X X 0 X^2+X X^2 X^2 X^2+X X^2 0 X X^2 0 X^2+X X^2+X X^2+X X X^2 X^2 X X^2 X^2 X X 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 generates a code of length 96 over Z2[X]/(X^3) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+224x^92+574x^96+224x^100+1x^192 The gray image is a linear code over GF(2) with n=384, k=10 and d=184. This code was found by Heurico 1.16 in 35.9 seconds.