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  7  1  7  1  1  1  1  1  1  1  1  1 21  1  1  1  1  1  1  1  1  1  1 35  1 21  1  1  1  1  1
 0  1  1 31 16 48  4 19  0 36 31 16 48  4 19  1 19 16 36 48 26  1  4  1  0  1 31 38 26  5 46  7 38 36 14  1  3  6  3 15  9 21 15  6 32  9  1 13  1 15 10 41 14  0
 0  0 35  0 35  7 35  7 42 14  7 42  0  0 42 14 21 28 21 14 28  7  7 28 14  7 14 14 35 42  0 14  7  0 35  0 35 21 35  0 21 21 42 21  7 21 42 14 42 42 42 42  0  0
 0  0  0  7 28 28 21 42  0 42  7 42 35 28 21 21 42 21 35 35 35 21  0 28 35 35 28 21 14 35 14 42 28  0 42 35 28 21  0 28  7 42 42  0 42 14 28 28 42  7  0 28  7 21

generates a code of length 54 over Z49 who´s minimum homogenous weight is 301.

Homogenous weight enumerator: w(x)=1x^0+120x^301+84x^303+504x^304+1332x^308+798x^309+2394x^310+4536x^311+3948x^315+2016x^316+4662x^317+8064x^318+11598x^322+5922x^323+11970x^324+17640x^325+13560x^329+5670x^330+9702x^331+12474x^332+210x^336+108x^343+144x^350+120x^357+54x^364+12x^371+6x^378

The gray image is a code over GF(7) with n=378, k=6 and d=301.
This code was found by Heurico 1.16 in 4.89 seconds.