The generator matrix

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

generates a code of length 72 over GR(16,4) who´s minimum homogenous weight is 200.

Homogenous weight enumerator: w(x)=1x^0+351x^200+612x^201+516x^202+672x^203+1866x^204+1980x^205+1572x^206+1128x^207+2709x^208+3228x^209+2184x^210+1572x^211+3624x^212+3672x^213+2676x^214+1500x^215+3843x^216+4272x^217+2460x^218+1944x^219+3606x^220+3756x^221+2520x^222+1224x^223+3009x^224+2748x^225+1308x^226+972x^227+1524x^228+1056x^229+576x^230+180x^231+396x^232+180x^233+12x^234+24x^235+60x^236+3x^240

The gray image is a code over GF(4) with n=288, k=8 and d=200.
This code was found by Heurico 1.16 in 22.4 seconds.