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

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

Homogenous weight enumerator: w(x)=1x^0+176x^305+416x^310+100x^313+484x^315+600x^318+356x^320+2600x^323+324x^325+5100x^328+316x^330+4100x^333+240x^335+188x^340+152x^345+112x^350+124x^355+76x^360+88x^365+32x^370+28x^375+4x^380+8x^385

The gray image is a code over GF(5) with n=410, k=6 and d=305.
This code was found by Heurico 1.16 in 1.44 seconds.