The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2a 1 1 1 2 1 1 1 2a+2 1 1 2a 2a+2 2 1 1 1 2a 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 2a+2 2 1 0 1 0 0 2 2a+2 2 2a 2a+2 2a+3 a 2a+1 a+1 3a+2 3 3 1 3a 1 a 1 2a+3 2a+1 a+1 1 a a+2 1 2a+2 1 2 0 a+2 1 2a 1 a+3 3a+2 2a 2a+2 3a+3 a 2a+1 2a+3 1 a+1 a+3 3a 3a 3a+3 2 3a+2 0 a+3 2a 1 2 0 0 1 0 2a+3 2 a 0 2a 3a+3 3a+1 2a+1 a+3 1 3a+2 3a 2a+3 1 2 a+2 0 2a+2 3a+1 2 3a+1 a 2a 3a+2 1 a a+2 3 3a+3 3a+3 a 3a+2 a 3a+2 1 a+1 3a+3 3 2a+2 3a+1 2a+3 0 a+1 2a+2 2 3a 1 a 2a+2 3a 1 1 0 0 0 0 1 3a+3 2a+3 3a+1 a a+1 a+3 a+3 2a a+2 2 a 1 3a+1 3a 0 3 2a+3 3a+1 2a+3 2 3 3a+3 a+2 3a+2 2a+1 3a+1 0 2a 2a+1 2 3a 2 1 3a 1 2a+1 a+1 2a+1 3 a+2 3a a+1 3 2a+2 3 3 3a+2 a+2 1 a+3 3 2a+2 2 generates a code of length 57 over GR(16,4) who´s minimum homogenous weight is 156. Homogenous weight enumerator: w(x)=1x^0+474x^156+612x^157+240x^158+876x^159+2247x^160+1944x^161+288x^162+1980x^163+3453x^164+3612x^165+504x^166+3084x^167+4872x^168+4284x^169+600x^170+3132x^171+5298x^172+4824x^173+660x^174+3696x^175+5430x^176+3876x^177+468x^178+1872x^179+2940x^180+1920x^181+276x^182+648x^183+804x^184+408x^185+36x^186+72x^187+72x^188+24x^189+6x^192+3x^196 The gray image is a code over GF(4) with n=228, k=8 and d=156. This code was found by Heurico 1.16 in 16.4 seconds.