The generator matrix

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

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+116x^26+222x^27+325x^28+478x^29+594x^30+760x^31+982x^32+1136x^33+1305x^34+1418x^35+1479x^36+1566x^37+1388x^38+1170x^39+1018x^40+874x^41+598x^42+364x^43+259x^44+156x^45+90x^46+30x^47+23x^48+14x^49+5x^50+4x^51+9x^52

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 29.5 seconds.