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

generates a code of length 79 over Z25 who´s minimum homogenous weight is 290.

Homogenous weight enumerator: w(x)=1x^0+68x^290+60x^292+20x^294+348x^295+340x^297+160x^298+680x^299+844x^300+1260x^302+980x^303+2200x^304+1880x^305+3220x^307+1560x^308+3780x^309+2236x^310+4740x^312+2560x^313+5180x^314+3248x^315+6780x^317+3760x^318+7160x^319+3396x^320+5800x^322+2700x^323+4800x^324+2392x^325+2580x^327+780x^328+1180x^329+672x^330+220x^332+148x^335+104x^340+100x^345+88x^350+28x^355+36x^360+20x^365+16x^370

The gray image is a code over GF(5) with n=395, k=7 and d=290.
This code was found by Heurico 1.16 in 14.3 seconds.