The generator matrix

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

generates a code of length 17 over GR(64,4) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+119x^112+672x^113+168x^114+826x^120+2016x^121+280x^122+14x^128

The gray image is a code over GF(8) with n=136, k=4 and d=112.
This code was found by Heurico 1.16 in 0.00134 seconds.