The generator matrix

 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  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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  5  5  1  1  1  1  1  1  5  1  1  1  1  1  1  1
 0  5  0  0  0  0  0  5  5 20 10 15 20 15 15 15 10 10  0  0 10 10 15 15 10 10 10  0  0 10 15 20 15  0 15 10 15 20  5 10 15 20 20 10 15 10 20 20 10 20 20 15  5  0  5 20 10  0 20  0 20 15 20 10 20 20 15 15  5  5 10 10 20 15 15 10  5  5 10 15  5 15  0  0
 0  0  5  0  0  5  5 15 20 15  0  5 10 10 20  0 20  5  5  0  5 15  5 15 20  0 10 10 10  5 20 20  5 15 15 20 10 20  5  0  0 20  5  0 15 20  5  0  5  0  0 10  0 10 10  5  0 20 10 15 20  0 20 20 15  0 20 20 15 20 15  0 15 10 20 15 20 15 15 20 20  5 15  0
 0  0  0  5  0 15 10 15  5  5 20  5  0  5 10  5  5 10 15 10  5  0  5 20 15 10 20 10 15 10 10 20  0 15 10  0 10 15  0  5  5 15 10  0 10 10 15  5 15 20 20 15 20 20  0  5  0 15  0 10  0 15  5  5  0 15 15 15 10 20  0  0  0 15 10 15  0  0 20  5 15 15  0  0
 0  0  0  0  5 15  5 20 15  5 15 20 10  0  0  5  0 15 10  5  5 20  5 10  0 20  0 20  5 20  5 10 20 10 15 10 20 15 20 20 20  5 20 10  5 10  5  5 15 20  0 10 15 10 20 15 15  5  0 10 10  5 15  5 10 20 20 15  0 15 15 20 15  0 10 20 10 10 15 15 20  0 15  0

generates a code of length 84 over Z25 who´s minimum homogenous weight is 310.

Homogenous weight enumerator: w(x)=1x^0+40x^310+324x^315+440x^320+100x^324+432x^325+1200x^329+364x^330+4800x^334+300x^335+6400x^339+272x^340+196x^345+156x^350+176x^355+108x^360+112x^365+84x^370+36x^375+56x^380+12x^385+12x^390+4x^405

The gray image is a code over GF(5) with n=420, k=6 and d=310.
This code was found by Heurico 1.16 in 1.47 seconds.