The generator matrix

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

generates a code of length 48 over Z5[X]/(X^2) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+740x^177+760x^178+180x^179+768x^180+1240x^181+2800x^182+2240x^183+1160x^184+2520x^185+2480x^186+5960x^187+3720x^188+1740x^189+3104x^190+3120x^191+7420x^192+5300x^193+2820x^194+4392x^195+3860x^196+7380x^197+3980x^198+1600x^199+2244x^200+1800x^201+3200x^202+1500x^203+28x^205+20x^210+16x^215+8x^220+20x^225+4x^230

The gray image is a linear code over GF(5) with n=240, k=7 and d=177.
This code was found by Heurico 1.16 in 8.45 seconds.