The generator matrix

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

generates a code of length 94 over Z5[X]/(X^2) who´s minimum homogenous weight is 365.

Homogenous weight enumerator: w(x)=1x^0+84x^365+216x^370+500x^372+132x^375+2000x^377+80x^380+16x^385+48x^390+8x^395+16x^400+4x^405+8x^410+8x^415+4x^465

The gray image is a linear code over GF(5) with n=470, k=5 and d=365.
This code was found by Heurico 1.16 in 0.196 seconds.