The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+198x^28+494x^30+916x^32+1078x^34+1414x^36+1300x^38+1304x^40+836x^42+463x^44+126x^46+49x^48+6x^50+4x^52+2x^56+1x^60

The gray image is a linear code over GF(2) with n=74, k=13 and d=28.
This code was found by Heurico 1.16 in 4.19 seconds.