The generator matrix
1 0 1 1 1 X 1 1 1 1 0 X 1 1 1 1 0 X 1 1 1 1 0 X X X 0 1 1 1 1 X X 0 0 X 1
0 1 X+1 X 1 1 0 X+1 X 1 1 1 0 X X+1 1 1 1 0 X X+1 1 1 1 0 X X 0 X X+1 1 0 X X 1 1 0
generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.
Homogenous weight enumerator: w(x)=1x^0+2x^38+8x^39+3x^40+2x^42
The gray image is a linear code over GF(2) with n=74, k=4 and d=38.
This code was found by Heurico 1.16 in 0.00481 seconds.