The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+142x^30+245x^32+344x^34+358x^36+296x^38+247x^40+208x^42+162x^44+34x^46+10x^48+1x^56

The gray image is a linear code over GF(2) with n=74, k=11 and d=30.
This code was found by Heurico 1.16 in 0.26 seconds.