The generator matrix

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

generates a code of length 90 over Z25 who´s minimum homogenous weight is 349.

Homogenous weight enumerator: w(x)=1x^0+700x^349+868x^350+480x^351+780x^352+160x^353+1860x^354+1296x^355+560x^356+620x^357+140x^358+1280x^359+820x^360+340x^361+420x^362+100x^363+920x^364+676x^365+260x^366+320x^367+40x^368+500x^369+596x^370+220x^371+220x^372+60x^373+420x^374+248x^375+140x^376+140x^377+320x^379+112x^380+4x^385+4x^390

The gray image is a code over GF(5) with n=450, k=6 and d=349.
This code was found by Heurico 1.16 in 0.65 seconds.