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

generates a code of length 74 over Z5[X]/(X^2) who´s minimum homogenous weight is 260.

Homogenous weight enumerator: w(x)=1x^0+88x^260+560x^265+788x^270+20x^272+1036x^275+80x^277+1352x^280+800x^282+1384x^285+5600x^287+1512x^290+14800x^292+1632x^295+24880x^297+1576x^300+16320x^302+1452x^305+1312x^310+1112x^315+840x^320+572x^325+256x^330+96x^335+36x^340+20x^345

The gray image is a linear code over GF(5) with n=370, k=7 and d=260.
This code was found by Heurico 1.16 in 30.3 seconds.