The generator matrix

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

generates a code of length 54 over Z5[X]/(X^2) who´s minimum homogenous weight is 195.

Homogenous weight enumerator: w(x)=1x^0+212x^195+20x^196+100x^197+680x^199+672x^200+480x^201+640x^202+2080x^204+1268x^205+1020x^206+1340x^207+5680x^209+2556x^210+2520x^211+2540x^212+10080x^214+4064x^215+3720x^216+3940x^217+11680x^219+4264x^220+3400x^221+2840x^222+6700x^224+1880x^225+1340x^226+1100x^227+600x^229+264x^230+164x^235+96x^240+124x^245+52x^250+8x^255

The gray image is a linear code over GF(5) with n=270, k=7 and d=195.
This code was found by Heurico 1.16 in 9.87 seconds.