The generator matrix

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

generates a code of length 45 over Z5[X]/(X^2) who´s minimum homogenous weight is 170.

Homogenous weight enumerator: w(x)=1x^0+588x^170+700x^171+320x^172+720x^173+1676x^175+1460x^176+960x^177+600x^178+1420x^180+1400x^181+620x^182+640x^183+1020x^185+1020x^186+600x^187+540x^188+900x^190+420x^191+12x^195+8x^200

The gray image is a linear code over GF(5) with n=225, k=6 and d=170.
This code was found by Heurico 1.16 in 0.249 seconds.