The generator matrix

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

generates a code of length 63 over Z5[X]/(X^2) who´s minimum homogenous weight is 236.

Homogenous weight enumerator: w(x)=1x^0+980x^236+500x^237+160x^238+580x^239+1328x^240+4380x^241+1440x^242+240x^243+1180x^244+2956x^245+8040x^246+2040x^247+600x^248+1600x^249+3636x^250+10380x^251+2080x^252+660x^253+2020x^254+4424x^255+10620x^256+1920x^257+620x^258+1540x^259+2580x^260+6680x^261+1560x^262+220x^263+580x^264+604x^265+1420x^266+460x^267+44x^270+20x^275+8x^280+12x^285+12x^295

The gray image is a linear code over GF(5) with n=315, k=7 and d=236.
This code was found by Heurico 1.16 in 9.35 seconds.