The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  1  7  1  1
 0  1  1 31 16  0 31  1 36  7 38 36  1 16  9
 0  0 35 21 42  7 28 14 28 42 14 14 35 35  7

generates a code of length 15 over Z49 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+630x^79+180x^84+3150x^86+6174x^90+90x^91+6510x^93+72x^105

The gray image is a code over GF(7) with n=105, k=5 and d=79.
This code was found by Heurico 1.16 in 2.5 seconds.