The generator matrix

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

generates a code of length 66 over GR(16,4) who´s minimum homogenous weight is 178.

Homogenous weight enumerator: w(x)=1x^0+312x^178+504x^179+717x^180+1056x^181+2016x^182+2376x^183+2481x^184+2520x^185+4584x^186+4800x^187+5352x^188+5556x^189+8412x^190+8760x^191+9498x^192+8292x^193+11760x^194+12264x^195+13386x^196+12000x^197+15852x^198+14712x^199+14628x^200+12144x^201+15648x^202+12852x^203+11823x^204+9108x^205+10068x^206+8088x^207+6015x^208+3876x^209+4152x^210+2664x^211+1377x^212+696x^213+900x^214+528x^215+171x^216+48x^217+24x^218+36x^219+21x^220+45x^224+6x^228+3x^232+6x^236+3x^240+3x^248

The gray image is a code over GF(4) with n=264, k=9 and d=178.
This code was found by Heurico 1.16 in 237 seconds.