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

generates a code of length 78 over Z25 who´s minimum homogenous weight is 300.

Homogenous weight enumerator: w(x)=1x^0+92x^300+100x^304+188x^305+800x^309+112x^310+1600x^314+108x^315+32x^320+20x^325+24x^330+8x^335+12x^340+8x^345+12x^350+4x^355+4x^380

The gray image is a code over GF(5) with n=390, k=5 and d=300.
This code was found by Heurico 1.16 in 0.118 seconds.