The generator matrix

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

generates a code of length 49 over Z5[X]/(X^2) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+172x^180+560x^181+200x^182+240x^183+880x^184+2124x^185+3240x^186+1520x^187+960x^188+2140x^189+4416x^190+5780x^191+1860x^192+1260x^193+3120x^194+6300x^195+7220x^196+3300x^197+1060x^198+4000x^199+6656x^200+7460x^201+2740x^202+1060x^203+2180x^204+3356x^205+3240x^206+380x^207+420x^208+180x^209+8x^210+36x^215+32x^220+20x^225+4x^230

The gray image is a linear code over GF(5) with n=245, k=7 and d=180.
This code was found by Heurico 1.16 in 7.23 seconds.