The generator matrix

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

generates a code of length 46 over Z5[X]/(X^2) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+620x^165+700x^166+600x^167+560x^168+2840x^169+4716x^170+4760x^171+3060x^172+1840x^173+8280x^174+12484x^175+12080x^176+7940x^177+4980x^178+17740x^179+26184x^180+22100x^181+15080x^182+9820x^183+28800x^184+39700x^185+29720x^186+19420x^187+9260x^188+26860x^189+30320x^190+19940x^191+8260x^192+3540x^193+7980x^194+6492x^195+3200x^196+640x^197+68x^200+24x^205+8x^210+8x^215

The gray image is a linear code over GF(5) with n=230, k=8 and d=165.
This code was found by Heurico 1.16 in 152 seconds.