The generator matrix

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

generates a code of length 38 over Z5[X]/(X^2) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+32x^130+40x^132+432x^135+820x^137+1196x^140+3560x^142+2144x^145+12660x^147+3964x^150+24360x^152+4776x^155+19720x^157+2364x^160+1340x^162+324x^165+236x^170+120x^175+32x^180+4x^185

The gray image is a linear code over GF(5) with n=190, k=7 and d=130.
This code was found by Heurico 1.16 in 6.16 seconds.