The generator matrix

 1  0  0  1  1  1  0  1  1  1  X  1  1  X  0  1  1  1  1  0  X  1  1  1  0  0  X  0  1  1  1  0  1
 0  1  0  0  1  1  1  0  X X+1  1  1  1  1  0 X+1  X  0  1  1  1  0  0  1  X  1  1  X X+1 X+1  1  X X+1
 0  0  1  1  1  0  1  X  1  0  X X+1 X+1 X+1  1  0 X+1  0  0 X+1  X  0  1  1  1  X X+1  1 X+1 X+1  X  1 X+1
 0  0  0  X  0  0  0  0  0  0  0  X  X  0  0  0  0  X  0  X  X  X  X  X  0  X  X  X  X  0  X  0  0
 0  0  0  0  X  0  0  X  0  X  0  X  0  X  X  X  0  0  0  0  0  X  0  X  X  0  X  X  0  X  0  0  X
 0  0  0  0  0  X  0  0  0  X  0  0  0  0  0  X  0  0  X  0  0  X  X  X  X  X  X  0  X  X  X  X  0
 0  0  0  0  0  0  X  X  0  X  X  0  X  0  0  0  X  X  X  0  X  X  0  X  0  X  0  0  0  X  0  0  X

generates a code of length 33 over Z2[X]/(X^2) who�s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+192x^28+168x^30+231x^32+88x^34+148x^36+120x^38+56x^40+8x^42+12x^44

The gray image is a linear code over GF(2) with n=66, k=10 and d=28.
As d=28 is an upper bound for linear (66,10,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 10.
This code was found by Heurico 1.16 in 50.1 seconds.