The generator matrix

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

generates a code of length 21 over Z5[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+172x^70+60x^71+140x^72+240x^73+1540x^74+1792x^75+860x^76+1680x^77+1080x^78+3380x^79+3316x^80+4660x^81+6720x^82+3120x^83+11120x^84+6208x^85+8860x^86+8960x^87+3060x^88+6460x^89+4028x^90+560x^91+56x^95+40x^100+12x^105

The gray image is a linear code over GF(5) with n=105, k=7 and d=70.
This code was found by Heurico 1.16 in 2.45 seconds.