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

generates a code of length 49 over Z5[X]/(X^2) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+160x^165+596x^170+932x^175+20x^176+1240x^180+400x^181+1656x^185+3200x^186+1616x^190+12800x^191+1992x^195+25600x^196+2012x^200+20480x^201+1980x^205+1468x^210+1144x^215+532x^220+220x^225+60x^230+16x^235

The gray image is a linear code over GF(5) with n=245, k=7 and d=165.
This code was found by Heurico 1.16 in 18.4 seconds.