The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 21  1  1 14  1  1  1 42  1  1  1 28  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1 21  1  1
 0  1  0 35 21 42  7 14  1 17 30 18  5 36 31  4  8  3 16 46 44 19 43  1  4 33  1 38 46 19  1  2 47 36  1  2 39 17  6 34 13 20 41 43 38  9 20 12  1 26  1  0 28
 0  0  1 36 31 16 34 18 25  4 11 39 46 12  7 38  9 19 27 40 29 21 10 13 15 20 26 37 28 23 11 26 36 22 37 44 41  3 45 30  6 40 28 14 48 38 22 26 38 17 15 12 18

generates a code of length 53 over Z49 who´s minimum homogenous weight is 304.

Homogenous weight enumerator: w(x)=1x^0+3528x^304+4410x^305+840x^306+126x^307+18x^308+15876x^311+13902x^312+1890x^313+630x^314+138x^315+19404x^318+13062x^319+1638x^320+1302x^321+180x^322+22932x^325+15960x^326+1806x^327+6x^350

The gray image is a code over GF(7) with n=371, k=6 and d=304.
This code was found by Heurico 1.16 in 3.79 seconds.