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  7  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 46  1  6 36 15 22 20  0
 0  0 35  0 35  7 35  7 42 14  7 42  0  0 42 14 21 28 28 21 42  7 28 14  0  7 42 35 42 21 14  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 42 21 35  7  0 14 42  0

generates a code of length 32 over Z49 who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+72x^168+378x^174+912x^175+378x^176+798x^177+3276x^181+4188x^182+1806x^183+2016x^184+10836x^188+16002x^189+5544x^190+5922x^191+28728x^195+23748x^196+6678x^197+5670x^198+234x^203+288x^210+144x^217+30x^224

The gray image is a code over GF(7) with n=224, k=6 and d=168.
This code was found by Heurico 1.16 in 2.55 seconds.