The generator matrix

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

generates a code of length 51 over Z5[X]/(X^2) who´s minimum homogenous weight is 190.

Homogenous weight enumerator: w(x)=1x^0+96x^190+220x^192+760x^194+1120x^195+580x^197+1140x^199+1512x^200+480x^202+1020x^204+3308x^205+580x^207+1500x^209+1968x^210+480x^212+580x^214+36x^215+160x^217+4x^220+36x^225+16x^230+16x^235+12x^240

The gray image is a linear code over GF(5) with n=255, k=6 and d=190.
This code was found by Heurico 1.16 in 0.365 seconds.