The generator matrix

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

generates a code of length 72 over GR(16,4) who´s minimum homogenous weight is 199.

Homogenous weight enumerator: w(x)=1x^0+240x^199+363x^200+516x^201+492x^202+1404x^203+1446x^204+1320x^205+1008x^206+2376x^207+2706x^208+2160x^209+1356x^210+3576x^211+2997x^212+2772x^213+1656x^214+3912x^215+3789x^216+2868x^217+1800x^218+4140x^219+4122x^220+3024x^221+1488x^222+3336x^223+2652x^224+1992x^225+1020x^226+2064x^227+1023x^228+564x^229+360x^230+408x^231+243x^232+144x^233+36x^234+48x^235+30x^236+27x^240+12x^244+27x^248+12x^252+6x^260

The gray image is a code over GF(4) with n=288, k=8 and d=199.
This code was found by Heurico 1.16 in 21.5 seconds.