The generator matrix

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

generates a code of length 40 over GR(16,4) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+660x^114+576x^115+90x^116+660x^118+348x^119+102x^120+408x^122+372x^123+24x^124+324x^126+132x^127+27x^128+252x^130+108x^131+6x^132+6x^136

The gray image is a code over GF(4) with n=160, k=6 and d=114.
This code was found by Heurico 1.16 in 8.88 seconds.