The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  0  1  1  1  5  1  1  1  1  1  1  5  1  1  1  5  1  1  1 20  1  1  1  1  1 10  1  1  1  1  1  1  1  1  1  1 15  1  1  1  1  1  1  1  1  1  1 20  1 20  1  1  1  1 20  1  1
 0  1  1  7 14 18  0 16  7 14 18  1  0 14 18  1 16  7 16  1 19  5 12  9  5 12  1 11  5 23  1  9 12 21  1  6 20  2 16  5  1  2 21 12 21 10 11  3  7 24 10  1  6 17 22  2  9 24 18  4 17  2  1 14  1  7 10  9 12  1  0 23
 0  0 15  0 15 10  0 20 10 20  5 15 10  0 15 15 15  0 10  5  0 10 15 10  5  5  0 20 20  0 20  5 15 10 10  0 15  5  5 20  5 20  0 10  5  5 15 15 20 15 10 20 20 15 20  0 20  5 15  0 10  5 15 20  0 20  0 15  5 15  0  5
 0  0  0  5 15  5 10 15  0 10 15  5 10 15  5 15 20 10 10 20  5 15 10  5  0  5 20 20 10 15  5 15  5 15 20  0 15 10 10  5  5 10 10 15 15  5 10 15  5  5  5 10  5  0  0 15  0  5 10 20 20  0 10 20 20 15 20 10 10  5  5  0

generates a code of length 72 over Z25 who´s minimum homogenous weight is 275.

Homogenous weight enumerator: w(x)=1x^0+732x^275+3560x^280+3120x^285+3600x^290+3328x^295+1128x^300+96x^305+12x^310+12x^315+8x^320+20x^325+4x^335+4x^340

The gray image is a code over GF(5) with n=360, k=6 and d=275.
This code was found by Heurico 1.16 in 0.577 seconds.