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

generates a code of length 81 over Z25 who´s minimum homogenous weight is 310.

Homogenous weight enumerator: w(x)=1x^0+272x^310+660x^313+520x^314+1556x^315+1360x^318+600x^319+1892x^320+780x^323+420x^324+1592x^325+1000x^328+440x^329+1768x^330+920x^333+360x^334+820x^335+280x^338+160x^339+176x^340+8x^345+8x^350+8x^355+8x^360+8x^365+4x^375+4x^380

The gray image is a code over GF(5) with n=405, k=6 and d=310.
This code was found by Heurico 1.16 in 0.662 seconds.