The generator matrix

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

generates a code of length 39 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+13x^36+24x^37+21x^38+26x^39+14x^40+6x^41+6x^42+6x^43+3x^44+2x^45+5x^46+1x^56

The gray image is a linear code over GF(2) with n=78, k=7 and d=36.
This code was found by Heurico 1.16 in 0.00767 seconds.