The generator matrix

 1  0  1  1  1  1  1  1  1  1  0  1  1  1  0  1  1  1  1  0  1  1  1  1  1  1  X  1  1  1 2X  1  1 4X  1  1  0 2X  1  1 3X  1  1  1  1  0  1
 0  1  1  2  4  3 3X+1  0  2  3  1 3X+4  0  3  1  2 3X+1 3X+4  3  1  0 3X+1 3X+4 3X+1  2 3X+4  1  4  X  X  1 X+2 2X+1  1 X+2 3X+1  1  1 X+3 X+3  1  2 2X+3 4X 2X+4  1  0
 0  0 3X  0  0  0  0  X 2X 3X  X 4X 4X 4X 4X  0 3X  0 4X 4X 2X 2X  X  0 3X 3X 4X 4X 3X  0  X 4X 4X  X 2X 3X 4X 2X 3X 3X 3X 3X 3X 4X 3X 2X  0
 0  0  0  X  0  X 3X 3X  0  X 4X 2X  X  X 3X 4X  0  X 3X 3X 4X 3X  X 3X  0 4X 2X 4X 3X 3X 3X 2X  X  X  X  X  X 2X 4X 3X 4X  0 3X 4X 3X 2X  X
 0  0  0  0 3X 3X 2X 4X 4X 3X 4X 3X 2X  0  X 4X 3X 4X 3X 2X 4X 3X 4X  X  X  0 4X 3X  X 4X 3X  X 2X  0 4X 2X  0  X 4X 3X  X 2X 4X  X 3X 3X 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+96x^165+200x^169+424x^170+120x^171+480x^174+2288x^175+620x^176+1400x^179+5592x^180+1820x^181+2500x^184+14356x^185+3620x^186+3800x^189+18760x^190+4220x^191+3200x^194+10804x^195+2100x^196+920x^199+296x^200+208x^205+184x^210+84x^215+32x^220

The gray image is a linear code over GF(5) with n=235, k=7 and d=165.
This code was found by Heurico 1.16 in 8.07 seconds.