The generator matrix

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

generates a code of length 46 over GR(16,4) who´s minimum homogenous weight is 124.

Homogenous weight enumerator: w(x)=1x^0+171x^124+72x^126+372x^127+660x^128+324x^130+780x^131+1089x^132+624x^134+1128x^135+1536x^136+840x^138+2040x^139+1806x^140+936x^142+1380x^143+1359x^144+276x^146+444x^147+384x^148+66x^152+42x^156+24x^160+9x^164+12x^168+3x^172+6x^176

The gray image is a code over GF(4) with n=184, k=7 and d=124.
This code was found by Heurico 1.16 in 0.997 seconds.