The generator matrix

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

generates a code of length 76 over GR(16,4) who´s minimum homogenous weight is 204.

Homogenous weight enumerator: w(x)=1x^0+96x^204+303x^208+396x^212+168x^215+426x^216+648x^219+447x^220+2256x^223+378x^224+3792x^227+342x^228+3720x^231+333x^232+1704x^235+288x^236+282x^240+249x^244+225x^248+123x^252+84x^256+54x^260+48x^264+18x^268+3x^276

The gray image is a code over GF(4) with n=304, k=7 and d=204.
This code was found by Heurico 1.16 in 3.54 seconds.