The generator matrix

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

generates a code of length 39 over Z5[X]/(X^2) who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+420x^141+200x^142+600x^143+760x^144+816x^145+2360x^146+1440x^147+2760x^148+2120x^149+1308x^150+4340x^151+3480x^152+4920x^153+3080x^154+2460x^155+7120x^156+5920x^157+7480x^158+4440x^159+2688x^160+6200x^161+3960x^162+4240x^163+2100x^164+756x^165+2060x^166+32x^170+44x^175+8x^180+12x^190

The gray image is a linear code over GF(5) with n=195, k=7 and d=141.
This code was found by Heurico 1.16 in 22.5 seconds.