The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  1  1  1  5  1 10  1  1
 0  1  1  7 14 18  0 16  7  1 14 18  5 12  9 21  5  3  1  5 12
 0  0 15 10  5  0 20 10  5 10 15 20 10 15 20  5  5 10 15 15 20

generates a code of length 21 over Z25 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+480x^78+400x^79+48x^80+640x^83+200x^84+52x^85+880x^88+400x^89+16x^90+8x^100

The gray image is a code over GF(5) with n=105, k=5 and d=78.
This code was found by Heurico 1.16 in 0.0265 seconds.