The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  X  X  1  1  1  X  X  X  X  1  X  1  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  0  X  X  X  X  X  X  0  0  X  X  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  0  X  X  X  X  0  0  X  X  0  X  X  X  0  0  0  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  0  X  0  0  0  X  X  X  0  X  0  X  X  X  X  0  0  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  0  0  X  X  X  0  X  X  0  X  0  X  0  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  0  0  X  0  X  0  X  X  0  0  X  0  X  0  X  X  0  0  0  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  X  0  X  X  X  X  0  0  0  X  0  0  X  X  X  0  X  0  0  0  0  0  0
 0  0  0  0  0  0  0  X  0  0  0  X  0  0  X  0  X  X  0  X  X  0  X  0  X  0  0  X  X  0  0  X  X  X  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  0  X  0  X  0  X  X  X  X  X  X  0  0  X  0  0  X  X  X  X  X  0  0  0  0
 0  0  0  0  0  0  0  0  0  X  0  X  X  X  0  X  X  X  0  X  0  0  0  0  0  0  0  X  X  X  0  X  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  X  X  X  0  0  X  X  0  X  X  X  X  0  X  0  0  X  X  0  X  X  0  0  0  X  X  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+81x^24+49x^26+170x^28+8x^29+94x^30+64x^31+197x^32+224x^33+193x^34+448x^35+226x^36+560x^37+224x^38+448x^39+206x^40+224x^41+241x^42+64x^43+110x^44+8x^45+150x^46+26x^48+55x^50+6x^52+12x^54+1x^56+6x^58

The gray image is a linear code over GF(2) with n=74, k=12 and d=24.
This code was found by Heurico 1.16 in 1.44 seconds.