The generator matrix

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

generates a code of length 88 over Z25 who´s minimum homogenous weight is 340.

Homogenous weight enumerator: w(x)=1x^0+1644x^340+3580x^345+3220x^350+3112x^355+2648x^360+1108x^365+264x^370+8x^375+4x^380+4x^385+4x^390+12x^395+12x^400+4x^410

The gray image is a code over GF(5) with n=440, k=6 and d=340.
This code was found by Heurico 1.16 in 20.6 seconds.