The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+402x^124+552x^125+564x^126+1080x^127+2052x^128+1392x^129+1380x^130+2604x^131+3237x^132+2340x^133+2412x^134+3360x^135+4968x^136+3300x^137+3120x^138+4140x^139+5766x^140+3204x^141+2964x^142+3996x^143+4392x^144+2172x^145+1644x^146+1560x^147+1557x^148+768x^149+204x^150+156x^151+144x^152+96x^153+6x^156+3x^160

The gray image is a code over GF(4) with n=184, k=8 and d=124.
This code was found by Heurico 1.16 in 12 seconds.