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

generates a code of length 50 over GR(16,4) who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+108x^134+264x^135+537x^136+684x^137+708x^138+1500x^139+1107x^140+1356x^141+1680x^142+2736x^143+2019x^144+2580x^145+2808x^146+4152x^147+2856x^148+3624x^149+3948x^150+5928x^151+2997x^152+3732x^153+3828x^154+4428x^155+2418x^156+2748x^157+1944x^158+2112x^159+1068x^160+588x^161+336x^162+384x^163+207x^164+48x^165+30x^168+24x^172+24x^176+9x^180+12x^184+3x^188

The gray image is a code over GF(4) with n=200, k=8 and d=134.
This code was found by Heurico 1.16 in 14.1 seconds.