The generator matrix

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

generates a code of length 60 over Z5[X]/(X^2) who´s minimum homogenous weight is 215.

Homogenous weight enumerator: w(x)=1x^0+76x^215+40x^219+280x^220+60x^221+920x^223+380x^224+392x^225+860x^226+2660x^228+1120x^229+424x^230+2580x^231+5540x^233+1820x^234+376x^235+5480x^236+9040x^238+3420x^239+352x^240+8580x^241+11240x^243+3580x^244+236x^245+6420x^246+6920x^248+2140x^249+256x^250+1020x^251+1180x^253+244x^255+216x^260+128x^265+84x^270+36x^275+12x^280+8x^285+4x^290

The gray image is a linear code over GF(5) with n=300, k=7 and d=215.
This code was found by Heurico 1.16 in 11.2 seconds.