The generator matrix

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

generates a code of length 47 over GR(16,4) who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+120x^125+276x^126+336x^127+465x^128+960x^129+948x^130+1176x^131+1398x^132+2688x^133+1992x^134+2088x^135+2070x^136+3672x^137+3108x^138+3600x^139+3222x^140+5352x^141+4020x^142+4176x^143+3636x^144+5664x^145+3084x^146+3048x^147+1920x^148+2400x^149+1680x^150+888x^151+450x^152+648x^153+252x^154+48x^155+42x^156+54x^160+30x^164+12x^168+12x^172

The gray image is a code over GF(4) with n=188, k=8 and d=125.
This code was found by Heurico 1.16 in 54.4 seconds.