The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+77x^26+76x^27+269x^28+370x^29+502x^30+586x^31+766x^32+920x^33+1152x^34+1332x^35+1272x^36+1504x^37+1466x^38+1432x^39+1014x^40+1036x^41+910x^42+600x^43+433x^44+238x^45+222x^46+62x^47+75x^48+28x^49+20x^50+8x^51+10x^52+2x^54+1x^58

The gray image is a linear code over GF(2) with n=74, k=14 and d=26.
This code was found by Heurico 1.16 in 28.6 seconds.