The generator matrix

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

generates a code of length 24 over Z2[X]/(X^2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+142x^18+307x^20+372x^22+410x^24+402x^26+253x^28+136x^30+20x^32+4x^34+1x^40

The gray image is a linear code over GF(2) with n=48, k=11 and d=18.
This code was found by Heurico 1.16 in 0.143 seconds.