The generator matrix

 1  1  1  1  1  1  1  1  X  X  1  1  X  X  X  X  1  1  1  1  X  X  1  1
 0 X^3+X^2  0 X^3+X^2 X^3 X^2 X^3 X^2 X^3+X^2 X^3+X^2  0  0 X^3 X^2  0 X^2 X^3 X^3 X^3+X^2 X^2  0 X^3 X^3+X^2 X^2
 0  0 X^3 X^3 X^3 X^3  0  0  0 X^3  0 X^3 X^3 X^3 X^3  0 X^3  0  0  0  0  0 X^3 X^3

generates a code of length 24 over Z2[X]/(X^4) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+124x^24+3x^32

The gray image is a linear code over GF(2) with n=192, k=7 and d=96.
As d=96 is an upper bound for linear (192,7,2)-codes, this code is optimal over Z2[X]/(X^4) for dimension 7.
This code was found by Heurico 1.16 in 6.87e-008 seconds.