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

generates a code of length 52 over Z49 who´s minimum homogenous weight is 294.

Homogenous weight enumerator: w(x)=1x^0+360x^294+588x^301+468x^308+14406x^312+420x^315+216x^322+66x^329+30x^336+48x^343+132x^350+54x^357+18x^364

The gray image is a code over GF(7) with n=364, k=5 and d=294.
This code was found by Heurico 1.16 in 12.7 seconds.