The generator matrix

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

generates a code of length 49 over GR(16,4) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+216x^129+684x^130+840x^131+1332x^132+1740x^133+2592x^134+2760x^135+3849x^136+4656x^137+7080x^138+5916x^139+7944x^140+9624x^141+11412x^142+10404x^143+13506x^144+15732x^145+17244x^146+12972x^147+17103x^148+17868x^149+19176x^150+13008x^151+14910x^152+12744x^153+11664x^154+7476x^155+5919x^156+4560x^157+3492x^158+1764x^159+861x^160+444x^161+384x^162+156x^163+39x^164+39x^168+9x^172+12x^176+6x^180+6x^184

The gray image is a code over GF(4) with n=196, k=9 and d=129.
This code was found by Heurico 1.16 in 181 seconds.