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

generates a code of length 89 over Z25 who´s minimum homogenous weight is 344.

Homogenous weight enumerator: w(x)=1x^0+1320x^344+500x^345+2840x^349+804x^350+2740x^354+548x^355+2260x^359+508x^360+1980x^364+524x^365+1180x^369+156x^370+180x^374+32x^375+20x^380+4x^385+8x^390+16x^395+4x^405

The gray image is a code over GF(5) with n=445, k=6 and d=344.
This code was found by Heurico 1.16 in 33.1 seconds.