The generator matrix

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

generates a code of length 26 over Z2[X]/(X^2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+32x^20+16x^21+38x^22+48x^23+43x^24+64x^25+38x^26+64x^27+35x^28+48x^29+41x^30+16x^31+16x^32+5x^34+1x^36+5x^38+1x^42

The gray image is a linear code over GF(2) with n=52, k=9 and d=20.
This code was found by Heurico 1.16 in 0.015 seconds.