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

generates a code of length 38 over Z5[X]/(X^2) who´s minimum homogenous weight is 140.

Homogenous weight enumerator: w(x)=1x^0+552x^140+140x^141+320x^143+1520x^145+780x^146+540x^148+1768x^150+2020x^151+960x^153+2920x^155+2060x^156+680x^158+1244x^160+36x^165+48x^170+24x^175+8x^180+4x^185

The gray image is a linear code over GF(5) with n=190, k=6 and d=140.
This code was found by Heurico 1.16 in 0.312 seconds.