The generator matrix

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

generates a code of length 80 over Z25 who´s minimum homogenous weight is 307.

Homogenous weight enumerator: w(x)=1x^0+440x^307+800x^308+168x^310+1660x^312+1460x^313+200x^315+1680x^317+1680x^318+68x^320+1260x^322+1600x^323+44x^325+1740x^327+1420x^328+56x^330+580x^332+540x^333+40x^335+140x^337+12x^340+8x^345+4x^355+12x^360+8x^365+4x^370

The gray image is a code over GF(5) with n=400, k=6 and d=307.
This code was found by Heurico 1.16 in 55.8 seconds.