The generator matrix

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

generates a code of length 17 over Z49 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+432x^77+1230x^84+2070x^91+14406x^96+3420x^98+86436x^103+5052x^105+3414x^112+1188x^119

The gray image is a code over GF(7) with n=119, k=6 and d=77.
This code was found by Heurico 1.16 in 2.43 seconds.