The generator matrix

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

generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+175x^26+708x^28+1210x^30+1889x^32+2591x^34+3013x^36+2849x^38+2042x^40+1181x^42+478x^44+172x^46+58x^48+13x^50+1x^52+1x^54+2x^56

The gray image is a linear code over GF(2) with n=72, k=14 and d=26.
This code was found by Heurico 1.16 in 33 seconds.