The generator matrix

 1  0  1  1  1  1  1  1  1  2  1  1  1  1 2a  1  1  1  1 2a+2  1  1  1  1  1  1  1  1  1
 0  1 2a+3  a a+1  2 2a+1 a+2 a+3  1 2a  3 3a 3a+1  1 2a+2  1 3a+2 3a+3  1  0  2 2a+3 2a+1 2a  3  a a+2 3a

generates a code of length 29 over GR(16,4) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+108x^86+96x^87+9x^88+36x^90+6x^100

The gray image is a code over GF(4) with n=116, k=4 and d=86.
This code was found by Heurico 1.16 in 1.01e-007 seconds.