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

generates a code of length 87 over Z49 who´s minimum homogenous weight is 497.

Homogenous weight enumerator: w(x)=1x^0+162x^497+468x^504+1284x^511+4914x^518+9318x^525+162x^532+90x^539+84x^546+84x^553+108x^560+36x^567+60x^574+24x^581+12x^588

The gray image is a code over GF(7) with n=609, k=5 and d=497.
This code was found by Heurico 1.16 in 0.511 seconds.