The generator matrix

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

generates a code of length 82 over Z25 who´s minimum homogenous weight is 305.

Homogenous weight enumerator: w(x)=1x^0+228x^305+20x^306+20x^308+220x^309+900x^310+1140x^311+440x^313+960x^314+1364x^315+3160x^316+1200x^318+1540x^319+2176x^320+5540x^321+2300x^323+2460x^324+2792x^325+7840x^326+3700x^328+2660x^329+2908x^330+11120x^331+3580x^333+2840x^334+2892x^335+6800x^336+1260x^338+1500x^339+1520x^340+1880x^341+320x^344+352x^345+124x^350+136x^355+108x^360+56x^365+32x^370+28x^375+8x^380

The gray image is a code over GF(5) with n=410, k=7 and d=305.
This code was found by Heurico 1.16 in 15 seconds.