The generator matrix

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

generates a code of length 49 over GR(16,4) who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+378x^136+336x^137+600x^138+264x^139+915x^140+1032x^141+972x^142+300x^143+1224x^144+1080x^145+996x^146+432x^147+1329x^148+924x^149+1044x^150+312x^151+981x^152+732x^153+732x^154+168x^155+609x^156+396x^157+240x^158+60x^159+183x^160+108x^161+24x^162+3x^164+3x^168+6x^176

The gray image is a code over GF(4) with n=196, k=7 and d=136.
This code was found by Heurico 1.16 in 0.703 seconds.