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  7  1  1  1  1 14  1  1  1  1  1  1 28  1  1  1  1 21  1  1  1  1  7  1 42  1 14  1  1  1  1  1  1  1  7  1  1  1  1  1  7  1  0  1  1
 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  9 29  1 38  7  9  6  1 43 40 21 11 27  9  1 43 23 38 24  1 29 44 34 30  1 20  1  6  1 41 43 43 37 41  8  9  1 39 37 36 32 27 14 38  1 21  4
 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 28  7 35 14 14 21 21 42 42 28 35  0  7 21  7 28  7  0 42  0 42  7  0 35 21 42 42 28 21  0 28  0 14 21  0 14 28 28 42 35 28 35  0 42 42 35  7
 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  0 14 42 21 14  7  0 28 42 14  7 35  0 21 35  0 28 42 35 35 21  7 42 21 42  0 42 14  0 28  7 42  7 21  7  0 21  7 14  7 35 35 14 21 35 28 21

generates a code of length 77 over Z49 who´s minimum homogenous weight is 440.

Homogenous weight enumerator: w(x)=1x^0+840x^440+384x^441+168x^442+882x^443+7182x^447+468x^448+1512x^449+3192x^450+12432x^454+432x^455+2688x^456+6300x^457+19698x^461+372x^462+5880x^463+11340x^464+24150x^468+192x^469+4158x^470+7098x^471+7728x^475+108x^476+120x^483+84x^490+90x^497+60x^504+60x^511+18x^518+12x^525

The gray image is a code over GF(7) with n=539, k=6 and d=440.
This code was found by Heurico 1.16 in 34.5 seconds.