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

generates a code of length 80 over Z49 who´s minimum homogenous weight is 441.

Homogenous weight enumerator: w(x)=1x^0+366x^441+1230x^448+1638x^455+1956x^462+7206x^469+33498x^476+65244x^483+1662x^490+1572x^497+1278x^504+960x^511+576x^518+318x^525+108x^532+30x^539+6x^553

The gray image is a code over GF(7) with n=560, k=6 and d=441.
This code was found by Heurico 1.16 in 18.9 seconds.