The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  7 14 18  0 16 14  7 14  0  7 19 12  5 22 19  5 24
 0  0 15  0 15 10  0 20 10 10 20 15  5  0 10  5  5  0 15 20
 0  0  0  5 15  5 10 15 15  0 10  5 10 20 10  0  5 15 10 20

generates a code of length 20 over Z25 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+524x^70+360x^71+100x^72+988x^75+1420x^76+800x^77+2264x^80+5080x^81+1600x^82+1724x^85+640x^86+64x^90+40x^95+20x^100

The gray image is a code over GF(5) with n=100, k=6 and d=70.
This code was found by Heurico 1.16 in 86.4 seconds.