The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a+2 2a 2 1 1 1 1 2a 1 2a+2 1 1 1 1 0 1 1 1 1 1 2a 2a+2 1 1 1 0 0 2a 1 2a+2 1 1 1 2a+2 1 2a 1 1 1 0 1 0 2a+2 2a 2 1 3a+2 3a+3 2a+3 2a+1 a+2 a a+1 a+3 3 3a 3a+1 1 1 1 0 1 a 3a+3 1 2a 1 a+3 2 2a+3 a+2 1 3 2a+1 2a+2 3a 3a+2 1 1 a+1 a+1 a 1 1 1 3a+3 1 3a+2 a+3 3a+3 1 3a 1 a+1 a+2 3a 0 0 1 1 a 3a+3 3a+1 a+1 a+3 a+2 2a+1 3a+2 2a+2 2a+3 2a 2 3 3a 2a+1 3a a+1 2 3a+3 0 3a+1 3a+2 3a+2 a+3 2a+2 a+3 a a+2 3a+2 2a 1 3 2a+1 a+3 a+1 3 2a+1 0 a+2 2a a 2a+1 2a+1 2 2a+3 1 2a+2 0 2 2a+3 3 3a+3 a generates a code of length 57 over GR(16,4) who´s minimum homogenous weight is 163. Homogenous weight enumerator: w(x)=1x^0+204x^163+318x^164+156x^165+216x^166+612x^167+330x^168+228x^169+156x^170+360x^171+189x^172+48x^173+120x^174+252x^175+108x^176+60x^177+36x^178+168x^179+225x^180+60x^181+24x^182+96x^183+39x^184+24x^185+24x^186+36x^187+6x^192 The gray image is a code over GF(4) with n=228, k=6 and d=163. This code was found by Heurico 1.16 in 0.078 seconds.