The generator matrix

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

generates a code of length 39 over Z2[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+50x^33+85x^34+110x^35+116x^36+96x^37+105x^38+64x^39+36x^40+60x^41+57x^42+46x^43+64x^44+42x^45+31x^46+36x^47+7x^48+6x^49+10x^50+2x^53

The gray image is a linear code over GF(2) with n=78, k=10 and d=33.
This code was found by Heurico 1.16 in 0.104 seconds.