The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 2a 1 1 1 1 1 2a+2 1 1 1 2 1 1 1 1 1 2 1 1 2 1 1 1 1 1 0 1 1 1 0 2a+2 1 1 1 2a 2a 1 1 1 1 1 1 1 1 2a+2 1 1 1 1 1 1 1 1 0 1 0 0 2a+2 0 2a+2 1 3a+2 2a+3 3 3 a+3 1 3a a+1 2a+1 2 2a+1 1 3a+1 a+3 3a+1 1 a+1 a 2 2a+3 3 1 2a+2 2a+1 1 0 2a+3 a+3 2 2a 1 a 2a a 1 0 3a a 3a 1 1 3a a+1 a+2 2a+3 2a+3 a+1 1 3a+1 2a 2a a+3 1 a+2 2a 1 a+2 0 0 0 1 0 2 2a+2 0 2a 2a 2a+2 2a+2 2a 2 3a+2 2a+3 3a 2a+1 a+1 a+3 1 3a+2 2a+3 2a+1 3 3a+3 a+2 a 3a+2 a+2 3a+3 3a+1 a+2 a+1 3a 2a+1 3a+3 2a+3 a 2 3a+2 3 3 a 1 3a+2 a+3 a+1 3a+3 3 a+3 3a+1 2a 3a+3 a+3 a a+1 1 1 1 3a+1 3a 2a a+2 1 3a+3 a 0 0 0 1 2a+3 3a+2 3a+3 3a+1 a+1 3a 2a+2 3 a 2a+3 2a a+3 2a+3 3a+1 3 2a+1 1 2 a+3 a+1 a+2 3a+2 0 3a+1 1 2a+3 a+2 3a 3a+1 3 2a 0 2a+3 a+3 a+1 2a 3a+3 a+1 a+2 3a+2 2a+1 2a+1 0 2a 0 3a+2 2a+3 a+2 a+3 a 2 2a+2 a+2 2a+1 2 3a+1 3a a+1 0 3a+2 1 1 generates a code of length 66 over GR(16,4) who´s minimum homogenous weight is 183. Homogenous weight enumerator: w(x)=1x^0+468x^183+789x^184+1068x^185+756x^186+1680x^187+2037x^188+2244x^189+1392x^190+2820x^191+2943x^192+3132x^193+1680x^194+3012x^195+3525x^196+3624x^197+1656x^198+3708x^199+4347x^200+3816x^201+1548x^202+3456x^203+3321x^204+2484x^205+1500x^206+2436x^207+1845x^208+1644x^209+564x^210+780x^211+615x^212+384x^213+108x^214+72x^215+24x^216+36x^217+12x^218+6x^220+3x^224 The gray image is a code over GF(4) with n=264, k=8 and d=183. This code was found by Heurico 1.16 in 90 seconds.