The generator matrix

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

generates a code of length 19 over Z5[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+256x^65+180x^66+300x^68+868x^70+460x^71+2400x^73+2224x^75+1040x^76+4800x^78+2120x^80+820x^81+80x^85+64x^90+12x^95

The gray image is a linear code over GF(5) with n=95, k=6 and d=65.
This code was found by Heurico 1.16 in 0.104 seconds.