The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+49x^24+128x^26+70x^27+264x^28+216x^29+481x^30+472x^31+776x^32+984x^33+1082x^34+1494x^35+1261x^36+1696x^37+1351x^38+1520x^39+1151x^40+992x^41+764x^42+482x^43+471x^44+200x^45+239x^46+56x^47+103x^48+8x^49+42x^50+2x^51+19x^52+9x^54+1x^60

The gray image is a linear code over GF(2) with n=74, k=14 and d=24.
This code was found by Heurico 1.16 in 13.7 seconds.