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

generates a code of length 70 over Z49 who´s minimum homogenous weight is 399.

Homogenous weight enumerator: w(x)=1x^0+378x^399+438x^406+462x^413+14712x^420+234x^427+174x^434+108x^441+114x^448+54x^455+66x^462+42x^469+12x^476+6x^483+6x^490

The gray image is a code over GF(7) with n=490, k=5 and d=399.
This code was found by Heurico 1.16 in 0.386 seconds.