The generator matrix

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

generates a code of length 72 over GR(16,4) who´s minimum homogenous weight is 204.

Homogenous weight enumerator: w(x)=1x^0+318x^204+444x^205+420x^206+300x^207+1326x^208+948x^209+600x^210+300x^211+1509x^212+900x^213+588x^214+288x^215+1395x^216+732x^217+612x^218+300x^219+1152x^220+756x^221+432x^222+96x^223+696x^224+396x^225+228x^226+216x^227+489x^228+300x^229+144x^230+36x^231+261x^232+132x^233+48x^234+12x^236+9x^240

The gray image is a code over GF(4) with n=288, k=7 and d=204.
This code was found by Heurico 1.16 in 1.33 seconds.