The generator matrix

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

generates a code of length 68 over GR(16,4) who´s minimum homogenous weight is 184.

Homogenous weight enumerator: w(x)=1x^0+378x^184+384x^185+660x^186+852x^187+2517x^188+2556x^189+2232x^190+2556x^191+5550x^192+5640x^193+4548x^194+5028x^195+9375x^196+9432x^197+7920x^198+7476x^199+13995x^200+13176x^201+10884x^202+10248x^203+16911x^204+15816x^205+12384x^206+10308x^207+16968x^208+14664x^209+10044x^210+8292x^211+11817x^212+8616x^213+5136x^214+3660x^215+5331x^216+3000x^217+1320x^218+636x^219+999x^220+444x^221+168x^222+96x^223+54x^224+30x^228+12x^232+6x^236+15x^240+6x^244+3x^252

The gray image is a code over GF(4) with n=272, k=9 and d=184.
This code was found by Heurico 1.16 in 247 seconds.