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

generates a code of length 83 over Z5[X]/(X^2) who´s minimum homogenous weight is 295.

Homogenous weight enumerator: w(x)=1x^0+128x^295+460x^300+904x^305+1216x^310+80x^313+1188x^315+1000x^318+1360x^320+5200x^323+1296x^325+15100x^328+1372x^330+24800x^333+1572x^335+16320x^338+1476x^340+1284x^345+1036x^350+848x^355+736x^360+396x^365+248x^370+52x^375+36x^380+16x^385

The gray image is a linear code over GF(5) with n=415, k=7 and d=295.
This code was found by Heurico 1.16 in 33.8 seconds.