The generator matrix

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

generates a code of length 74 over Z25 who´s minimum homogenous weight is 270.

Homogenous weight enumerator: w(x)=1x^0+56x^270+220x^274+296x^275+20x^276+80x^277+1160x^279+1044x^280+460x^281+600x^282+2700x^284+1616x^285+1200x^286+1580x^287+5700x^289+2284x^290+2200x^291+2380x^292+8600x^294+3316x^295+3800x^296+3680x^297+9980x^299+3428x^300+3580x^301+3200x^302+6940x^304+2412x^305+1240x^306+980x^307+2200x^309+628x^310+156x^315+132x^320+100x^325+60x^330+52x^335+20x^340+16x^345+4x^355+4x^360

The gray image is a code over GF(5) with n=370, k=7 and d=270.
This code was found by Heurico 1.16 in 13.2 seconds.