The generator matrix

 1  0  0  1  1  1  1  1 35  1  1  1  1  1  1
 0  1  0 36 31 16 35 17  1 48  1  9 34 18 19
 0  0  1  5 31 34 36  4 16 38  2 21 46 37 40

generates a code of length 15 over Z49 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+630x^78+3780x^79+180x^84+7560x^85+18900x^86+24696x^90+90x^91+22680x^92+39060x^93+72x^105

The gray image is a code over GF(7) with n=105, k=6 and d=78.
This code was found by Heurico 1.16 in 0.597 seconds.