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  1  7  1  1  1  1  1  1  7  1  1  1  1  1 21  1  1  1  1  1  1  1 42 21  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 21  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  7  6 40 43  1 21 25 23 19 36 25  1 39  3  0  5 32  1 48  9 29 29 46 18  9  1  1 26 29  8  6 38  8  3  9 13 45 28 34 14 30  7 23  1  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 14 21 35 42 28 35 14 42 35 21 28  7  0 42 28 21 35 21 42 14 14 28 42 14 21 21 35  7 35 35 42  7 28 14 21  7  7  7 14 14  7  7 28  0  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 14 21 42 42 21  7 42 21 14  0  7 28 42 28 14 28  7 28  0  0 35  7 35  7 21 42 42 35 28 14 42 21 35 14  7  0 14  0  7 42  0 42 14 42  0

generates a code of length 79 over Z49 who´s minimum homogenous weight is 448.

Homogenous weight enumerator: w(x)=1x^0+102x^448+420x^451+336x^454+1194x^455+630x^456+1008x^457+2688x^458+3024x^461+3972x^462+2100x^463+2268x^464+4578x^465+5376x^468+6426x^469+3150x^470+3318x^471+6510x^472+11760x^475+11712x^476+5460x^477+5166x^478+9786x^479+8316x^482+7272x^483+3066x^484+2646x^485+4830x^486+132x^490+120x^497+72x^504+78x^511+54x^518+36x^525+24x^532+12x^539+6x^546

The gray image is a code over GF(7) with n=553, k=6 and d=448.
This code was found by Heurico 1.16 in 7.59 seconds.