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  7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 14  1  1
 0  1  1 31 16 48  4 19  0 36 31 16 48  4 19  1 19 16 36 48  4  1  0 31 38 36  7 26  6 14  1 15 42 26 45 17 43  5 14 15 19 26 14 26 21 29 22  6 41  1 12  0
 0  0 35  0 35  7 35  7 42 14  7 42  0  0 42 14 21 28 21 14 42 14 21  7 35 21 21 42 21 35 35 14 28 21 35 35  0 28 35 42 42 28 42  7  0 21  0  0 28 14 21  7
 0  0  0  7 28 28 21 42  0 42  7 42 35 28 21 21 42 21 35 35 14  0 42  0 35 21  7 35 28  7  7  7 28 14 42 28  0 14 21 42  7 35  7 14 14 14 21 42 35  7 28 35

generates a code of length 52 over Z49 who´s minimum homogenous weight is 287.

Homogenous weight enumerator: w(x)=1x^0+168x^287+378x^293+1668x^294+378x^296+1554x^297+1722x^300+6012x^301+1806x^303+4158x^304+3150x^307+15954x^308+5544x^310+11718x^311+5544x^314+29400x^315+6678x^317+11382x^318+3612x^321+6312x^322+162x^329+162x^336+114x^343+42x^350+24x^357+6x^364

The gray image is a code over GF(7) with n=364, k=6 and d=287.
This code was found by Heurico 1.16 in 4.63 seconds.