The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2+X 1 1 0 1 1 1 1 X^2 X 1 1 1 1 X^2 X X X 0 X X X^2 X^2 1 1 0 1 X+1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 X^2 X X^2+X+1 1 1 1 X^2 X X^2+X+1 1 1 1 0 X^2+X X X^2 X X 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+67x^32+48x^34+8x^36+4x^40 The gray image is a linear code over GF(2) with n=132, k=7 and d=64. As d=64 is an upper bound for linear (132,7,2)-codes, this code is optimal over Z2[X]/(X^3) for dimension 7. This code was found by Heurico 1.16 in 0.00932 seconds.