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 X 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 X X^2 X^2+X 0 X^2 X^2+X X^2 X 0 X^2 X X X^2 X^2+X 0 X X X^2 X^2 0 X X^2+X 0 X^2 X^2 X^2+X 0 X X X^2 X^2+X 0 X^2+X X^2 X^2 X^2+X X^2 X^2 X^2+X X X^2+X X X X 0 0 X^2 X^2 X^2+X X^2+X 0 X 0 X X^2 X^2 0 X^2 X^2 X^2+X X X^2 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 X^2 X X^2+X X^2 0 X^2 X X^2+X X^2 0 X^2 X X^2+X 0 X X^2+X 0 X^2 X X^2 0 X X^2+X X X^2 X^2+X X X^2 X^2+X X^2 X^2 X^2+X X X^2 0 X^2 X^2+X X X^2+X X^2+X 0 0 X^2+X X^2 X^2+X 0 X^2 X X X^2 X 0 X X^2 0 0 X^2+X 0 0 X^2+X X X^2+X 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 X^2 X X^2+X X^2+X 0 X 0 X^2 X^2+X 0 X X^2+X X^2 X 0 0 X X^2+X X^2 X^2+X X X^2 0 X^2 X 0 X X^2 X^2 0 X^2+X X X X^2+X X 0 X^2+X X^2 0 0 X X^2 0 X^2 X^2+X X X^2 X 0 X^2+X X^2+X X^2+X X X^2+X 0 X^2+X X^2+X 0 X^2 X^2 X X^2+X X^2+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 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+100x^90+79x^92+200x^94+256x^95+207x^96+100x^98+64x^100+16x^102+1x^188 The gray image is a linear code over GF(2) with n=380, k=10 and d=180. This code was found by Heurico 1.16 in 0.89 seconds.