The generator matrix

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

generates a code of length 38 over Z5[X]/(X^2) who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+100x^145+140x^146+600x^147+260x^148+308x^150+220x^151+300x^152+80x^153+68x^155+40x^156+600x^157+160x^158+132x^160+100x^161+16x^165

The gray image is a linear code over GF(5) with n=190, k=5 and d=145.
This code was found by Heurico 1.16 in 0.0154 seconds.