The generator matrix

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

generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+38x^25+124x^26+160x^27+351x^28+446x^29+597x^30+764x^31+924x^32+1122x^33+1313x^34+1512x^35+1522x^36+1566x^37+1370x^38+1248x^39+998x^40+754x^41+566x^42+376x^43+267x^44+162x^45+113x^46+36x^47+29x^48+6x^49+13x^50+4x^52+2x^53

The gray image is a linear code over GF(2) with n=72, k=14 and d=25.
This code was found by Heurico 1.16 in 92.1 seconds.