The generator matrix

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

generates a code of length 45 over GR(16,4) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+546x^128+384x^130+984x^132+384x^134+630x^136+216x^138+264x^140+48x^142+447x^144+120x^146+72x^148

The gray image is a code over GF(4) with n=180, k=6 and d=128.
This code was found by Heurico 1.16 in 0.062 seconds.