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

generates a code of length 90 over Z5[X]/(X^2) who´s minimum homogenous weight is 335.

Homogenous weight enumerator: w(x)=1x^0+108x^335+312x^340+20x^344+460x^345+320x^349+432x^350+1920x^354+384x^355+5120x^359+280x^360+5120x^364+280x^365+112x^370+208x^375+156x^380+112x^385+104x^390+40x^395+56x^400+36x^405+20x^410+4x^415+8x^420+8x^425+4x^430

The gray image is a linear code over GF(5) with n=450, k=6 and d=335.
This code was found by Heurico 1.16 in 1.67 seconds.