The generator matrix

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

generates a code of length 66 over GR(16,4) who´s minimum homogenous weight is 182.

Homogenous weight enumerator: w(x)=1x^0+348x^182+468x^183+426x^184+864x^185+1536x^186+1716x^187+1233x^188+1356x^189+3036x^190+2616x^191+1899x^192+1968x^193+4212x^194+3144x^195+2337x^196+2520x^197+4560x^198+3804x^199+2295x^200+2352x^201+4188x^202+3540x^203+1884x^204+1956x^205+3648x^206+2304x^207+1338x^208+1032x^209+1248x^210+720x^211+324x^212+216x^213+264x^214+120x^215+33x^216+24x^217+3x^220+3x^228

The gray image is a code over GF(4) with n=264, k=8 and d=182.
This code was found by Heurico 1.16 in 18.4 seconds.