The generator matrix

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

generates a code of length 18 over GR(64,4) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+385x^112+336x^114+896x^119+4928x^120+1120x^122+6272x^127+16569x^128+2128x^130+56x^136+77x^144

The gray image is a code over GF(8) with n=144, k=5 and d=112.
This code was found by Heurico 1.16 in 0.0547 seconds.