The generator matrix

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

generates a code of length 69 over GR(16,4) who´s minimum homogenous weight is 200.

Homogenous weight enumerator: w(x)=1x^0+912x^200+1368x^204+729x^208+420x^212+348x^216+180x^220+135x^224+3x^240

The gray image is a code over GF(4) with n=276, k=6 and d=200.
This code was found by Heurico 1.16 in 1.06 seconds.