The generator matrix

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

generates a code of length 21 over Z5[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+92x^65+40x^68+580x^70+100x^72+640x^73+1320x^75+1000x^76+1200x^77+3840x^78+3640x^80+8000x^81+4800x^82+10240x^83+5500x^85+16000x^86+6400x^87+10240x^88+3868x^90+480x^95+124x^100+20x^105

The gray image is a linear code over GF(5) with n=105, k=7 and d=65.
This code was found by Heurico 1.16 in 2.6 seconds.