The generator matrix

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

generates a code of length 61 over Z5[X]/(X^2) who´s minimum homogenous weight is 233.

Homogenous weight enumerator: w(x)=1x^0+620x^233+140x^234+804x^235+420x^236+400x^237+2000x^238+440x^239+1284x^240+340x^241+440x^242+1320x^243+460x^244+1152x^245+340x^246+360x^247+1000x^248+200x^249+776x^250+220x^251+260x^252+1140x^253+260x^254+592x^255+180x^256+40x^257+420x^258+8x^260+8x^265

The gray image is a linear code over GF(5) with n=305, k=6 and d=233.
This code was found by Heurico 1.16 in 0.36 seconds.