The generator matrix

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

generates a code of length 27 over Z49 who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+1254x^147+2754x^154+6198x^161+5868x^168+378x^175+354x^182

The gray image is a code over GF(7) with n=189, k=5 and d=147.
This code was found by Heurico 1.16 in 13 seconds.