The generator matrix

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

generates a code of length 51 over GR(16,4) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+444x^135+696x^136+948x^137+600x^138+2376x^139+2847x^140+3564x^141+2508x^142+6648x^143+6768x^144+6696x^145+5244x^146+11100x^147+11385x^148+12420x^149+9024x^150+16932x^151+16128x^152+17172x^153+11760x^154+20064x^155+18240x^156+15780x^157+9516x^158+14832x^159+11454x^160+8592x^161+3900x^162+6396x^163+3771x^164+2316x^165+456x^166+1080x^167+315x^168+96x^169+30x^172+18x^176+12x^180+6x^184+3x^188+3x^192+3x^200

The gray image is a code over GF(4) with n=204, k=9 and d=135.
This code was found by Heurico 1.16 in 189 seconds.