The generator matrix

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

generates a code of length 19 over Z5[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+228x^60+400x^65+456x^70+524x^75+12500x^76+720x^80+552x^85+220x^90+24x^95

The gray image is a linear code over GF(5) with n=95, k=6 and d=60.
This code was found by Heurico 1.16 in 0.212 seconds.