The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  7  1  1 14  1  1  1 28  1  1  1  1  1 21  1  1  1 35 35 28  1  1  1  0  1  1  1  1  1  1  1 21  1  1  0
 0  1  1 31 16 48  4 19  0 36 31 16 48  4 19  1 19 16 48 36  4  1  0 31 36 26 38  7  6 46 29  9 38  7  9  1 43  6  1 27 21  9  1 43 40 23  8 28  1 44 30 29  1  1  1 37 29 30  1 29 46 16 43 39  6 42  1 30 36  1
 0  0 35  0 35  7 35  7 42 14  7 42  0  0 42 14 21 28 14 21 42 14 21  0 14 42 35 28 21 14  7 28 14 14 21 35 42 21 42  7 35 21  7 28 28  7 14 28  0  7 35 42  7 28 35 14 42 21 42 28  7 35 21 28 42 28 21  0 21 35
 0  0  0  7 28 28 21 42  0 42  7 42 35 28 21 21 42 21 35 35 14  0 42 14  7 35 35 28 28 21 14  0 21 14  7 42 42  0 28  0  7 21 35  0 14 28 14 21 35  7 21 21  0 21 14  7 14  0 35  7 14 14 42 42  0 42 28 28 28 35

generates a code of length 70 over Z49 who´s minimum homogenous weight is 398.

Homogenous weight enumerator: w(x)=1x^0+630x^398+420x^399+168x^400+840x^404+5544x^405+1578x^406+1470x^407+3360x^411+10038x^412+2904x^413+2814x^414+11340x^418+15876x^419+6282x^420+5754x^421+13272x^425+19824x^426+5034x^427+4200x^428+5712x^433+168x^434+108x^441+84x^448+114x^455+54x^462+36x^469+18x^476+6x^490

The gray image is a code over GF(7) with n=490, k=6 and d=398.
This code was found by Heurico 1.16 in 19.4 seconds.