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

generates a code of length 46 over Z5[X]/(X^2) who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+292x^155+696x^160+1056x^165+100x^168+1432x^170+1600x^173+1632x^175+9600x^178+1812x^180+25600x^183+2040x^185+25600x^188+2100x^190+1940x^195+1348x^200+796x^205+364x^210+104x^215+8x^220+4x^225

The gray image is a linear code over GF(5) with n=230, k=7 and d=155.
This code was found by Heurico 1.16 in 17.1 seconds.