The generator matrix

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

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+37x^20+81x^22+59x^24+27x^26+27x^28+15x^30+4x^32+5x^34

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 0.00417 seconds.