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

generates a code of length 75 over Z25 who´s minimum homogenous weight is 275.

Homogenous weight enumerator: w(x)=1x^0+76x^275+324x^280+468x^285+100x^288+392x^290+1200x^293+340x^295+4800x^298+316x^300+6400x^303+264x^305+284x^310+180x^315+92x^320+104x^325+132x^330+64x^335+48x^340+28x^345+8x^350+4x^360

The gray image is a code over GF(5) with n=375, k=6 and d=275.
This code was found by Heurico 1.16 in 1.28 seconds.