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  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0
 0  X  0  0  0  X  X  X  0  0  0  0  X  X  X  X  0  0  0  0  X  X  X  X  0  X  0  X X^2 X^2+X X^2 X^2+X X^2 X^2 X^2+X X^2 X^2+X X^2 X^2+X X^2 X^2+X X^2 X^2+X X^2 X^2+X X^2 X^2+X X^2+X  X X^2 X^2+X X^2 X^2 X^2+X  0 X^2 X^2+X  0
 0  0  X  0  X  X  X  0  0  0  X  X  X  X  0  0 X^2 X^2 X^2+X X^2+X X^2+X X^2+X X^2 X^2 X^2 X^2+X X^2 X^2+X X^2+X X^2 X^2+X X^2  0 X^2+X X^2 X^2+X X^2  X  0  X X^2+X  0  X  0  0  0 X^2+X  0 X^2 X^2 X^2+X X^2  X  X X^2+X  0 X^2+X X^2
 0  0  0  X  X  0  X  X X^2 X^2+X X^2+X X^2 X^2 X^2+X X^2+X X^2 X^2  X X^2+X  0 X^2  X X^2+X  0  0  0 X^2+X X^2+X  X  X X^2 X^2  X X^2+X X^2+X  0  0 X^2+X X^2+X  0  0  0  X X^2+X X^2 X^2 X^2  X X^2 X^2+X  X  0 X^2  0  X  X X^2+X  X

generates a code of length 58 over Z2[X]/(X^3) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+162x^56+192x^58+152x^60+4x^64+1x^112

The gray image is a linear code over GF(2) with n=232, k=9 and d=112.
As d=113 is an upper bound for linear (232,9,2)-codes, this code is optimal over Z2[X]/(X^3) for dimension 9.
This code was found by Heurico 1.16 in 2.02 seconds.