The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  1  1  X  1  X  1  X  1  1  1  1  X  X  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  X  0  X  X  X
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  0  X  0  X  X  X  0  0  X  0  X  X
 0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  X  X  0  0  0  X  0  0  0  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  X  X  0  0  0  X  X  X  X  X  X  0  0  X  X  0  0  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  0  X  0  0  0  X  0  X  0  X  0  X  0  X  X  0  0  X  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  0  0  0  X  X  X  X  0  0  0  0  X  0  X  X  0  0  0  X  0  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  X  0  X  0  X  X  X  0  X  0  X  0  X  X  0  X  0  X  X  X  X  X  X  X
 0  0  0  0  0  0  0  0  X  0  0  0  X  0  0  X  0  X  X  0  X  X  X  0  0  X  X  0  X  0  X  0  0  0  0  X  X
 0  0  0  0  0  0  0  0  0  X  0  0  X  0  X  0  0  0  X  0  0  X  0  X  X  0  X  0  0  0  0  X  X  0  0  X  X
 0  0  0  0  0  0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  X  X  0  0  X  0  0  X  X  X  0  X  0  X  X  X  X
 0  0  0  0  0  0  0  0  0  0  0  X  X  X  0  0  X  0  X  0  X  0  X  0  X  0  X  0  X  X  0  0  X  0  0  X  X

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+154x^24+415x^28+32x^30+941x^32+672x^34+2112x^36+1120x^38+1624x^40+224x^42+614x^44+218x^48+56x^52+6x^56+3x^60

The gray image is a linear code over GF(2) with n=74, k=13 and d=24.
This code was found by Heurico 1.16 in 10.6 seconds.