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  X  1  1  1  X  1
 0  X  0  0  0  0  0  X  X 4X 2X 3X 4X 3X 2X 4X  0 3X 4X 4X  0 3X 4X 4X 4X  0  X 4X 4X 2X 4X  X  X  X 2X  X  0  0  X 3X  X  X  X 4X  0  0
 0  0  X  0  0  X  X 3X 4X 3X  0  X 2X 2X  X 3X 3X  0  X  X  X 4X  0 4X  0  0  X 4X 4X  X 3X  X 4X 4X 4X 2X  0  X 2X 4X  X 3X 4X 4X  X 4X
 0  0  0  X  0 3X 2X 3X  X  X 4X  X  0  X  X 3X 2X  0  0 2X  0 2X  X 2X 4X 2X 4X  0 4X 4X  X 2X 4X  X 2X 2X  X  X  0  0 2X  0  0 4X 2X 3X
 0  0  0  0  X 3X  X 4X 3X  X 3X 4X 2X  0  0 3X  X 4X  0 3X 3X 3X 2X 3X  X 2X 4X 2X  0  0 4X 2X 3X 2X  0 3X  X  0  0 2X  0  X  X 3X  X 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+292x^165+432x^170+452x^175+500x^176+368x^180+4000x^181+412x^185+8000x^186+292x^190+316x^195+252x^200+132x^205+128x^210+36x^215+12x^220

The gray image is a linear code over GF(5) with n=230, k=6 and d=165.
This code was found by Heurico 1.16 in 4.92 seconds.