The generator matrix

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

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+152x^70+40x^72+200x^74+376x^75+200x^76+480x^77+400x^79+628x^80+1600x^81+1920x^82+1100x^84+952x^85+3200x^86+2560x^87+800x^89+872x^90+100x^95+20x^100+24x^105

The gray image is a linear code over GF(5) with n=105, k=6 and d=70.
This code was found by Heurico 1.16 in 0.118 seconds.