The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  7 14 18  0 16 14 16 16 14 11 19 24  7
 0  0 15  0 15 10  0 20 10 10  5 20 20 15 20  5
 0  0  0  5 15  5 10 15 15 20  5  0 20 10 10 10

generates a code of length 16 over Z25 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+400x^54+144x^55+200x^56+800x^59+1176x^60+1600x^61+2200x^64+4096x^65+3200x^66+1600x^69+96x^70+80x^75+32x^80

The gray image is a code over GF(5) with n=80, k=6 and d=54.
This code was found by Heurico 1.16 in 20.3 seconds.