The generator matrix

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

generates a code of length 16 over GR(64,4) who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+896x^106+504x^112+2688x^114+7x^128

The gray image is a code over GF(8) with n=128, k=4 and d=106.
This code was found by Heurico 1.16 in 0.00114 seconds.