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

generates a code of length 51 over Z49 who´s minimum homogenous weight is 273.

Homogenous weight enumerator: w(x)=1x^0+612x^273+1356x^280+1608x^287+2058x^294+2214x^301+100842x^306+2328x^308+2220x^315+1956x^322+1350x^329+858x^336+216x^343+24x^350+6x^357

The gray image is a code over GF(7) with n=357, k=6 and d=273.
This code was found by Heurico 1.16 in 17.6 seconds.