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

generates a code of length 55 over Z49 who´s minimum homogenous weight is 294.

Homogenous weight enumerator: w(x)=1x^0+348x^294+1134x^301+42x^306+1590x^308+1008x^313+1758x^315+9072x^320+2160x^322+36288x^327+2058x^329+54432x^334+2262x^336+2094x^343+1728x^350+1026x^357+486x^364+132x^371+30x^378

The gray image is a code over GF(7) with n=385, k=6 and d=294.
This code was found by Heurico 1.16 in 12.2 seconds.