The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1 31 16 48  4 19  0 36 31 16 48  4 19  1 19 16  1 36 48 31  4 38  0  6 26  7  9  7 46
 0  0 35  0 35  7 35  7 42 14  7 42  0  0 42 14 21 28 28 21 42  7 28 14 14  7 35  7 28 42  0
 0  0  0  7 28 28 21 42  0 42  7 42 35 28 21 21 42 21 28 35  7 35 28 21 35  0  7 28 42 35 42

generates a code of length 31 over Z49 who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+444x^168+840x^169+420x^170+1992x^175+6300x^176+1680x^177+9456x^182+26040x^183+5670x^184+18552x^189+38850x^190+6636x^191+348x^196+228x^203+150x^210+42x^217

The gray image is a code over GF(7) with n=217, k=6 and d=168.
This code was found by Heurico 1.16 in 3.29 seconds.