The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 X X^3+X^2 X 0 X X^3+X^2 X X^3 X X^2 X X^3 X X^2 1 0 X X^3+X^2 X^2+X 0 X^2+X X^3+X^2 X^3+X X^3 X^3+X^2+X X^2 X^3+X X^3 X^3+X^2+X X^2 X X^2+X X X^3+X X X^2+X X X^3+X X X^3+X^2+X X X X X^3+X^2+X X X X 0 0 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 0 0 0 X^3 X^3 0 X^3 X^3 0 X^3 0 0 X^3 X^3 0 0 X^3 0 X^3 X^3 0 0 generates a code of length 33 over Z2[X]/(X^4) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+14x^32+224x^33+15x^34+1x^48+1x^50 The gray image is a linear code over GF(2) with n=264, k=8 and d=128. This code was found by Heurico 1.16 in 0.015 seconds.