The generator matrix

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

generates a code of length 73 over Z5[X]/(X^2) who´s minimum homogenous weight is 280.

Homogenous weight enumerator: w(x)=1x^0+964x^280+440x^282+620x^283+2644x^285+400x^287+420x^288+2080x^290+660x^292+520x^293+2068x^295+720x^297+720x^298+2000x^300+280x^302+220x^303+796x^305+24x^310+12x^315+4x^320+16x^325+12x^330+4x^335

The gray image is a linear code over GF(5) with n=365, k=6 and d=280.
This code was found by Heurico 1.16 in 1.44 seconds.