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 X^2 1 1 1 1 1 0 1 0 1 1 1 X X 0 X 0 X 0 0 X X 0 0 X X 0 X X 0 0 X^2 X^2+X X 0 X^2 X^2+X X 0 X^2 X X^2+X 0 X^2 X^2+X X 0 X^2 X^2+X X^2+X X^2 X X X^2 X^2+X X^2+X X^2 0 X^2+X X 0 X^2 X^2+X X 0 X^2 X^2+X X X^2 0 X^2 0 X^2+X X 0 X^2 X X^2 X^2+X 0 X X^2 X^2 X^2+X X X^2 0 X^2 0 0 X^2+X X^2 0 X X 0 0 X X 0 X^2+X X 0 X^2+X 0 X 0 0 X 0 X^2+X X^2+X X^2 X 0 0 X X X^2 0 X X^2 X X^2+X 0 X^2+X X^2 X^2 X 0 X^2+X X^2+X X^2 X^2+X X^2 X X^2 X^2+X X^2 0 X^2+X X 0 X^2 X 0 X X X^2 0 X^2+X X^2 X^2+X X^2+X X^2+X X^2 X 0 X^2+X X^2 X 0 0 X^2 0 X^2+X X^2+X X X X X X^2+X X^2+X X^2 X X 0 0 0 X^2 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 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 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 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 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 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 generates a code of length 81 over Z2[X]/(X^3) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+149x^76+64x^78+357x^80+192x^82+190x^84+57x^88+13x^92+1x^152 The gray image is a linear code over GF(2) with n=324, k=10 and d=152. This code was found by Heurico 1.16 in 3.38 seconds.