The generator matrix

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

generates a code of length 46 over GR(16,4) who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+87x^116+291x^120+384x^124+444x^128+1155x^132+5091x^136+7362x^140+432x^144+441x^148+294x^152+210x^156+120x^160+57x^164+12x^168+3x^176

The gray image is a code over GF(4) with n=184, k=7 and d=116.
This code was found by Heurico 1.16 in 1.9 seconds.