The generator matrix 1 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 2a 2a 1 2a 1 1 1 1 0 1 1 1 1 1 2 1 1 1 1 1 2 0 2 1 2a 1 1 1 2 1 1 1 1 2a+2 1 1 1 0 1 0 0 0 2 2 2a+3 2a+1 1 3a 3a+3 a+2 a+3 1 2 a+2 1 1 2a+2 1 2a+3 a 2a 2 1 1 3 a+2 0 3a+1 1 3a+1 1 2a 2a+3 3a+3 2 2a 1 3a+1 1 3a+2 a+2 3a+3 1 3a 2a+2 3a 0 1 a 2a+1 3 0 0 1 0 1 3a+2 a+1 a 2a+2 3a+2 2a+3 3a+1 a 3a+2 a+1 3a+2 3a a 1 a+3 3a+1 2a+3 1 a+3 0 3a+1 1 3a 2a 2a+2 2a+1 3a+2 0 3a+2 2a+3 0 2 1 1 2 2a+3 3a+2 a+2 a+1 a 3a+3 2 3a a+1 3a+2 a+2 2a+1 0 0 0 0 0 1 3a+3 a 1 2 a+2 a+2 0 2 3a+1 2a+3 3a+2 2a+1 0 2a+2 1 2a 2a+1 2a+1 1 3a+1 3a+2 3a+3 2 a+3 a+3 a+1 a a+3 3 3 2a 2a+3 3a+2 a+1 3a a+2 1 1 3a+2 2a+1 a+3 2a+3 0 a 2a 3a+3 a a+1 0 2a+3 0 0 0 0 2 0 2a 0 0 0 2 2a 2 2a 2a+2 2a+2 2a+2 2a 2a+2 2 0 0 2a 2a 2a+2 2a+2 2 2 0 2a 0 2 2a+2 2 2a+2 2a 2 0 2 2a+2 0 2 2a 2 0 2 2a 2a 2a 0 2a 2 2 0 generates a code of length 54 over GR(16,4) who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+717x^144+636x^145+1008x^146+576x^147+3372x^148+2820x^149+4056x^150+1764x^151+7431x^152+5988x^153+7248x^154+3816x^155+13734x^156+11136x^157+12120x^158+6000x^159+20250x^160+15060x^161+15816x^162+8496x^163+23022x^164+17028x^165+15336x^166+6948x^167+18474x^168+11196x^169+8832x^170+2760x^171+7536x^172+3288x^173+2856x^174+360x^175+1533x^176+432x^177+312x^178+120x^180+39x^184+18x^188+3x^192+6x^196 The gray image is a code over GF(4) with n=216, k=9 and d=144. This code was found by Heurico 1.16 in 215 seconds.