The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 36 31 16 48  4 19  7 29 38  9  6 46 21

generates a code of length 15 over Z49 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+90x^84+420x^85+126x^86+534x^91+1050x^92+168x^93+12x^98

The gray image is a code over GF(7) with n=105, k=4 and d=84.
This code was found by Heurico 1.16 in 0.00081 seconds.