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

generates a code of length 47 over Z5[X]/(X^2) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+60x^165+324x^170+436x^175+456x^180+2500x^184+332x^185+10000x^189+376x^190+316x^195+304x^200+220x^205+188x^210+84x^215+20x^220+4x^225+4x^230

The gray image is a linear code over GF(5) with n=235, k=6 and d=165.
This code was found by Heurico 1.16 in 0.718 seconds.