The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  1  0  1  X  1  1  1  1  0  1  1  0  0  1  1  1  1  1  1  1  1  1  1  1
 0  1  0  1  0  1  1  0  X  1 X+1  1  1  0  X  1  1  X  0 X+1  1  1 X+1 X+1  1  1  X  X  X  X  X  X  1  X  0  0 X+1
 0  0  1  1  1  0  1  0  1 X+1  X  0  1  X  1  1  1  1 X+1  0  0 X+1  X  X  1  1  0 X+1  1  0  X  X X+1  1  0  1  X
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  0  X  0  X  X  0  0  X  X  X  0  X  X  0  X  X  X  0  X  0  X  X  0
 0  0  0  0  X  0  0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  0  0  X  X  0  X  0  X  0  X  X  X  X  0  X  0
 0  0  0  0  0  X  0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  0  X  X  0  X  X  X  X  X  0  0  X  X  X  0  X
 0  0  0  0  0  0  X  0  0  0  0  X  0  X  X  X  X  0  X  X  0  X  0  0  0  X  X  0  0  X  X  0  0  X  X  0  X
 0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  0  X  0  0  X  X  X  0  0  X  0  X  X  0  X  0  0  0  0  0  0  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+79x^30+164x^31+171x^32+136x^34+356x^35+116x^36+171x^38+348x^39+160x^40+88x^42+140x^43+44x^44+37x^46+16x^47+20x^48+1x^54

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 82.3 seconds.