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

generates a code of length 72 over Z49 who´s minimum homogenous weight is 406.

Homogenous weight enumerator: w(x)=1x^0+108x^406+396x^413+780x^420+3894x^427+10878x^434+234x^441+132x^448+108x^455+84x^462+66x^469+66x^476+36x^483+18x^490+6x^497

The gray image is a code over GF(7) with n=504, k=5 and d=406.
This code was found by Heurico 1.16 in 0.382 seconds.