The generator matrix

 1  1  1  1  1  1  1  1  1  X  1  X  1  X  X  1  0  1  X  X  1  0  1  X
 0  X  0  0  0  0  0  X  0  X  X  X  X  0  X  0  X  X  0  X  X  0  0  0
 0  0  X  0  0  0  X  0  X  X  X  X  X  0  0  X  0  X  X  X  X  X  X  0
 0  0  0  X  0  X  X  X  X  0  0  X  0  X  0  0  0  X  X  0  X  X  X  X
 0  0  0  0  X  X  0  0  X  X  0  X  X  X  X  X  0  X  0  0  0  X  0  0

generates a code of length 24 over Z2[X]/(X^2) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+8x^21+10x^22+16x^23+10x^24+4x^26+4x^28+8x^29+2x^30+1x^32

The gray image is a linear code over GF(2) with n=48, k=6 and d=21.
This code was found by Heurico 1.16 in 0.0231 seconds.