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  7 24 15  1 22 15  7 16  6 22  5 14 12  9  4  4  0
 0  0  1 18  7  1 14 24 16 16 23  8 14 11 22 18  9  0 18 24  5
 0  0  0 15 20  0  5 20 15 10 10  5 10 20  5 20  0 15  5  0  0

generates a code of length 21 over Z25 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+280x^70+100x^72+160x^73+1120x^74+2668x^75+700x^76+1200x^77+1120x^78+2540x^79+5324x^80+5600x^81+4800x^82+3280x^83+6560x^84+11156x^85+11200x^86+6400x^87+2940x^88+4780x^89+6056x^90+96x^95+32x^100+12x^105

The gray image is a code over GF(5) with n=105, k=7 and d=70.
This code was found by Heurico 1.16 in 2.55 seconds.