The generator matrix

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

generates a code of length 73 over Z5[X]/(X^2) who´s minimum homogenous weight is 282.

Homogenous weight enumerator: w(x)=1x^0+1200x^282+1500x^283+164x^285+2180x^287+2280x^288+224x^290+1440x^292+1460x^293+100x^295+1200x^297+1140x^298+84x^300+1060x^302+720x^303+20x^305+420x^307+400x^308+16x^310+16x^315

The gray image is a linear code over GF(5) with n=365, k=6 and d=282.
This code was found by Heurico 1.16 in 1.39 seconds.