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  1  1  1  1  1  1  1  1  1  2  2  2  1  2  1  1
 0  2  0  0  0  0  2  2  2 2a  0  2 2a+2 2a 2a+2 2a  2  0  0  2  0  2 2a  2  2 2a 2a 2a 2a+2  2  0 2a+2  0 2a+2  2 2a+2 2a+2 2a+2  2  2  2  2  0 2a  0  0
 0  0  2  0  0  2 2a+2 2a 2a 2a  0  0 2a 2a  0 2a  0 2a 2a+2  2 2a+2 2a  2 2a+2  0  2  2  2  0  2  0 2a 2a+2  2  2  2  2  0  2 2a 2a  2  0  2 2a  2
 0  0  0  2  0 2a+2  0  2 2a 2a+2  2  2  2  0  2 2a+2  0  2 2a+2  2 2a+2 2a+2 2a  0 2a+2  2 2a 2a+2 2a+2 2a+2  2 2a+2 2a  0 2a 2a  2 2a+2  2 2a+2  2  2 2a+2 2a+2 2a+2  2
 0  0  0  0  2  2  2 2a+2  2  2  2 2a  0  0  0 2a 2a  0 2a+2 2a 2a  2 2a 2a 2a+2  2  0  2 2a  0 2a 2a  2 2a 2a  0 2a 2a+2  0 2a 2a+2  2  2 2a+2 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+93x^124+189x^128+192x^130+162x^132+576x^134+150x^136+1344x^138+108x^140+960x^142+102x^144+60x^148+57x^152+27x^156+33x^160+30x^164+9x^168+3x^176

The gray image is a code over GF(4) with n=184, k=6 and d=124.
This code was found by Heurico 1.16 in 0.135 seconds.