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  1  1  7  1 21  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  7  1  1  1  1  1  1  1  1 14  1  1  1  1  1  1  1  1  1  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 29  9  7 11 23  6  3  1 43  1 32 27  7 22 12 14 35 22 39 15 47  7 17 39 46  1 25  1 11 22 14 21 36 32 33 23  1 19 22 46 28 15 21 18 20 27  0  0
 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 21 35 42 21 35 42 42 28 35  7  7 21  7 42 35  7 42  7 35 28 21  7 14 14 28 35 28  0  0  0  7 28 28 28 35 35  0  0 28  0 14 14  7 21 21  0
 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  7  0 28  0 28 28 42 28 14  0 42 21 35 21  7  7 28 21 28  7 35 14 42 21 21 35 42 14 35  7  0  7 42 35  0 14  7 35  0  0  0  7 42 35 28  0

generates a code of length 78 over Z49 who´s minimum homogenous weight is 441.

Homogenous weight enumerator: w(x)=1x^0+114x^441+798x^447+1698x^448+1596x^453+4956x^454+5472x^455+4032x^460+7896x^461+7956x^462+11844x^467+12684x^468+16086x^469+11340x^474+13566x^475+11802x^476+3318x^482+2058x^483+114x^490+96x^497+96x^504+60x^511+24x^518+30x^525+12x^532

The gray image is a code over GF(7) with n=546, k=6 and d=441.
This code was found by Heurico 1.16 in 7.61 seconds.