The generator matrix 1 0 1 1 1 X^2+X 1 1 X^3+X^2 1 1 X^3+X 1 1 X^3 1 1 X^3+X^2+X 1 1 1 1 X^2 X X X 0 X X X^3+X^2 X X 1 0 1 X+1 X^2+X X^2+1 1 X^3+X^2 X^3+X^2+X+1 1 X^3+X X^3+1 1 X^3 X^3+X+1 1 X^3+X^2+X X^3+X^2+1 1 X^2 X X^2+X+1 1 1 1 0 X^2+X X X^3+X^2 X^3+X X X^3 X^2 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+79x^32+88x^33+80x^34+8x^37 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.