The generator matrix

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

generates a code of length 51 over Z5[X]/(X^2) who´s minimum homogenous weight is 194.

Homogenous weight enumerator: w(x)=1x^0+400x^194+1388x^195+540x^196+140x^197+160x^198+760x^199+2640x^200+1020x^201+100x^202+180x^203+860x^204+1944x^205+620x^206+180x^207+60x^208+400x^209+1604x^210+740x^211+80x^212+100x^213+580x^214+1024x^215+80x^216+16x^220+8x^225

The gray image is a linear code over GF(5) with n=255, k=6 and d=194.
This code was found by Heurico 1.16 in 0.29 seconds.