The generator matrix

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

generates a code of length 24 over Z2[X]/(X^2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+59x^20+32x^22+79x^24+32x^26+44x^28+7x^32+1x^36+1x^40

The gray image is a linear code over GF(2) with n=48, k=8 and d=20.
This code was found by Heurico 1.16 in 9.54e-008 seconds.