The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1
 0  X  0  0  0  0  0  X  0  X  0  X  0  X  0  X  0  X  X  0  X  0  0  X
 0  0  X  0  0  0  X  X  0  X  0  0  X  0  0  X  X  0  X  0  X  X  X  X
 0  0  0  X  0  0  X  0  0  X  X  X  X  X  X  X  X  X  X  X  0  X  0  0
 0  0  0  0  X  0  X  0  X  X  0  X  0  0  X  X  0  0  X  X  0  X  X  X
 0  0  0  0  0  X  X  0  X  0  X  X  0  X  0  X  X  0  0  X  X  0  0  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+9x^20+16x^22+32x^23+15x^24+32x^25+12x^26+7x^28+3x^30+1x^46

The gray image is a linear code over GF(2) with n=48, k=7 and d=20.
This code was found by Heurico 1.16 in 0.00241 seconds.