The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  0  1  1  1  X  1  1 2X  1  1  1  1  1  X  1  0 4X  1  1  X  1  1  1  1
 0  1  1  2 3X+4  3  0 3X+1  2 3X+4  3  1  0 3X+4  3  1 3X+1  2 3X+1  1 4X+4  X  1 X+3 4X+4 X+1  X 2X+1  1  4  1  1 X+1 3X+1  1 X+1 X+2  X  1
 0  0 3X  0 3X 2X  0 4X 2X 4X  X 3X 2X  0 3X 3X 3X  0 2X  X  0 2X  X  X  0  X  X 2X 3X 3X  0  X  X 4X  0 2X  X 4X 4X
 0  0  0  X 3X  X 2X 3X  0 2X 3X  X 2X 3X  X 3X 4X 2X 2X 4X  X 3X  0  0 4X 3X  0  0 4X  X 4X  X 2X 4X 3X 4X 2X 2X  X

generates a code of length 39 over Z5[X]/(X^2) who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+576x^145+400x^146+700x^147+1344x^150+520x^151+900x^152+2752x^155+540x^156+2100x^157+2976x^160+760x^161+1300x^162+376x^165+280x^166+28x^170+44x^175+12x^180+8x^185+8x^190

The gray image is a linear code over GF(5) with n=195, k=6 and d=145.
This code was found by Heurico 1.16 in 2.02 seconds.