The generator matrix

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

generates a code of length 24 over Z2[X]/(X^2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+40x^14+198x^16+136x^18+208x^20+848x^22+1204x^24+848x^26+288x^28+136x^30+129x^32+40x^34+16x^36+4x^40

The gray image is a linear code over GF(2) with n=48, k=12 and d=14.
This code was found by Heurico 1.16 in 0.472 seconds.