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

generates a code of length 58 over Z49 who´s minimum homogenous weight is 329.

Homogenous weight enumerator: w(x)=1x^0+480x^329+432x^336+444x^343+14406x^348+342x^350+156x^357+144x^364+150x^371+126x^378+72x^385+36x^392+6x^399+12x^406

The gray image is a code over GF(7) with n=406, k=5 and d=329.
This code was found by Heurico 1.16 in 58.8 seconds.