The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1  1  1  1  1  1 20  1  1  1
 0  1  0  0 15 16 22 14  1  7  5 21 24 14 24 12 18  1 15 17 13
 0  0  1  0 16  8 22 21 24 10 19  3  2  6 13  6  8  9 21  9 20
 0  0  0  1  8 22 14  1 18 12  4 16  2  9 17 24  3 18 23 22 15

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

Homogenous weight enumerator: w(x)=1x^0+2080x^70+1400x^71+380x^72+2380x^73+3280x^74+6628x^75+6220x^76+5560x^77+12460x^78+9460x^79+21660x^80+29040x^81+22240x^82+33940x^83+28740x^84+46392x^85+50660x^86+29320x^87+33720x^88+16020x^89+21232x^90+7680x^91+92x^95+28x^100+12x^105

The gray image is a code over GF(5) with n=105, k=8 and d=70.
This code was found by Heurico 1.16 in 89.4 seconds.