The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+1057x^112+5208x^113+2352x^114+2240x^119+14329x^120+31248x^121+7840x^122+43008x^126+15680x^127+49518x^128+74648x^129+14896x^130+35x^136+84x^144

The gray image is a code over GF(8) with n=144, k=6 and d=112.
This code was found by Heurico 1.16 in 2.42 seconds.