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

generates a code of length 49 over Z49 who´s minimum homogenous weight is 259.

Homogenous weight enumerator: w(x)=1x^0+378x^259+1044x^266+1578x^273+294x^276+1902x^280+5292x^283+2166x^287+31752x^290+2388x^294+63504x^297+2364x^301+2136x^308+1662x^315+816x^322+306x^329+66x^336

The gray image is a code over GF(7) with n=343, k=6 and d=259.
This code was found by Heurico 1.16 in 10.6 seconds.