The generator matrix

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

generates a code of length 24 over Z2[X]/(X^2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+60x^22+28x^24+24x^26+12x^30+3x^32

The gray image is a linear code over GF(2) with n=48, k=7 and d=22.
As d=22 is an upper bound for linear (48,7,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 7.
This code was found by Heurico 1.16 in 0.00324 seconds.