The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  5  1  1  1  1  1
 0  5  0  0  5  5  0  5 10 20 15 20  0 10 20 20  5 10 10  5 15 15  5 15 20  0  0  5 10 10 20 10 10 20  0  5 20  0 15 15 10  0 15 20 10 15  5  0 15  5 10  5 10 15 20 15 15 20 15 20 20  5  5  0 15  5 20 10 10 15 20 10 15  5 10  0  5  0  0
 0  0  5  0 15 10  5 20  0  5  5  5 15 10  0 10 15  5 10 20  0 15 10 15 10 20 20  5 20 20  0  5  5 15 15 10  0  5 10 10  5  0  0  5 10 10  0 15 15 15  0 20 20 20 20  5 20 15 15 15 20 15  0 10 10 20  5 20 15  5  0  0 20  5 15  5  5  0 10
 0  0  0  5 15  5 20 15 15 15  0  5  5  0 15  5 10 10 15  0 20  5 15 15  0 20  0  5 15 20 20 20  5 20 20  0  5 15 10  5  0 15  0 10 10  0  5 15 20  0 20 10  0 10 10  5  5 10 10 15  0 20 15  5 15 20 20  5 10 10 10 10 20  0 20  0 20 20  0

generates a code of length 79 over Z25 who´s minimum homogenous weight is 305.

Homogenous weight enumerator: w(x)=1x^0+144x^305+148x^310+500x^312+128x^315+2000x^317+72x^320+48x^325+28x^330+16x^335+20x^345+8x^350+8x^360+4x^390

The gray image is a code over GF(5) with n=395, k=5 and d=305.
This code was found by Heurico 1.16 in 0.121 seconds.