The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  5  1  1  1  1  1  1 20  1  1  1  0  1  1  1 15  1  1  1  1  1 15  1 15  1 10  1  1  1  1  1  1  1  5  1  1  1 10  1  0  1  1  1  1  5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  0  0  5 10 20  1 16 14 18  7  1 23 19 22 24  8 22  1 18  8  7  1  6 24 17  1  6  9 11  2 19  1  6  1 24  1 16  3 16 18  7 16 17 20  5  1  0  1 20 20 19  5  7 13  1 12 12 15 13  2  2 14 13 23  8 14 21 19 20  4
 0  0  1  1 22 18 24  6  8  3  3 13 12 10  7 16  1 21 24 16 17 14 15 13  2 19  7  4 19 10 10 22 17 19 19 20 14 16 15 18  8 24  6  2 15  1  1 21 20  7 12  1 23 17 14  4 17  3 16 12  0 23 17  2 16 21 15 10 16  8 19 19
 0  0  0 15 20 10  0 15 15  0 20 20  0 10  5 10 20  5 15  5 10  0  5 10  5  5 10 15 10 15 20  0 15  5 20 10 10  0 15  5  5 20  5 20  0 10  0  0 10 10 15  5 20 10 10 15 20  0 15  5  5  5 15 20  0 20  0  5  5 10 20 15

generates a code of length 72 over Z25 who´s minimum homogenous weight is 271.

Homogenous weight enumerator: w(x)=1x^0+320x^271+720x^272+660x^273+820x^274+624x^275+1740x^276+2820x^277+2480x^278+1400x^279+1128x^280+3580x^281+5000x^282+3500x^283+1880x^284+1064x^285+4680x^286+5580x^287+3960x^288+2460x^289+1076x^290+4680x^291+5260x^292+3920x^293+2040x^294+844x^295+3660x^296+4320x^297+2420x^298+1100x^299+672x^300+1340x^301+1300x^302+560x^303+300x^304+156x^305+24x^310+12x^315+8x^320+8x^330+4x^335+4x^340

The gray image is a code over GF(5) with n=360, k=7 and d=271.
This code was found by Heurico 1.16 in 13.6 seconds.