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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  7  0  0  7  7 28 14 21  0  7 21 21 21 35 14 14  7 28 14 21 28  0  0 28  7  7 21  0 28 42 28  0 42 28 21 21 42  7 14 14 21  0 28 35 21 14  7 28 14  7 14 42 42 42 14 35  0  0 42 28 35  7 42 35 42 14  0  7 28 28  7 21 14 42 42  7  0 42 14 42 21 21 42 21 14 14  0
 0  0  7  0 35 28 21 35 42 21 21 21 35 35 28  0  0 21  7 28 14  7  7 35  0  7  7  7 35  0 35 14 28 28 21 28 14  7 28  7 28 21  0 14 14 14 42  0 14 35 35 42  0 42 14 28 14 35 42 42 42 35  0 28 35  0 14 21 14 21  7 42 35 14  7 14  7 28 35  0  0 42  0 35 21 42 21  0
 0  0  0  7 35  7 14 42 42 28  7  0 14 42 42 35  7 14 35  7  7 21 14 28 35 35 14  0 35 28 14 28 21 42  7 21 14 42 14 42 35 21 14 21  7 42 35 35 42 21 42 42  0 28 14 21 21 21  7 21 14 21 28 35 35 21 14  0 42 35 14 42 28  0 21  0  0  7 35  0 42  7 14 42  7 21 35 21

generates a code of length 88 over Z49 who´s minimum homogenous weight is 504.

Homogenous weight enumerator: w(x)=1x^0+180x^504+522x^511+438x^518+342x^525+14406x^528+258x^532+156x^539+156x^546+126x^553+60x^560+48x^567+36x^574+24x^581+12x^588+30x^595+6x^602+6x^616

The gray image is a code over GF(7) with n=616, k=5 and d=504.
This code was found by Heurico 1.16 in 0.518 seconds.