The generator matrix 1 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 1 1 0 1 1 2a 2a 0 0 1 1 1 1 1 1 2a 1 2 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 0 1 0 0 0 2 2 2a+3 2a+1 1 3a 3a+3 a+2 a+3 a+1 2a 3a 2a+2 2a 2a+1 a+3 2a+1 1 3 3a+1 3a+2 1 3a+2 2a+3 1 1 2 1 a+3 3a 3a+3 2a 3a 3 1 3a+1 2a 2a+1 a+2 3 1 2a+1 1 0 3 2a+2 2a 2 a 3a+1 2a+1 2 1 0 0 0 1 0 1 3a+2 a+1 a 2a+2 3a+2 2a+3 3a+1 a 3a+2 3a+3 0 3a 3a+3 a a+3 0 1 3a+1 3a 2a+1 a+2 1 1 2a+3 2 a+2 1 3 2a+3 2a+2 a 2a+1 0 3a a+2 a 1 3 2a+1 2a 2a 2a+1 2a+2 a a+1 2a+2 2a+1 3a+3 1 a+3 2 0 0 a+3 0 0 0 1 3a+3 a 1 2 a+2 a+2 0 2 3a+1 2a+3 3a+1 a+2 0 2 a+3 a 3a+1 3 2a+2 2a+1 a+2 2a+1 a 3a+3 3a+2 1 3 3a+1 2a 2a+1 3 a+1 3a+2 2a+2 3 2 3 2a+3 a+1 2a+1 3a+1 a+2 a+3 1 0 2a 3a+1 0 a+2 2a 3a+1 3 2a+2 3a+1 a+1 0 0 0 0 2 0 2a 0 0 0 2 2a 2 2a 2 2a 2a+2 2a+2 2a+2 2a 0 0 2a 2 0 2a 2a 2a+2 2 2 0 2 0 2a+2 0 2a 2 2a+2 2a+2 2a 0 2a 2a+2 2a+2 2 2a+2 2a 2a 2a+2 0 2a+2 0 0 2a 2a+2 2 2 0 2a generates a code of length 59 over GR(16,4) who´s minimum homogenous weight is 158. Homogenous weight enumerator: w(x)=1x^0+432x^158+576x^159+735x^160+348x^161+3240x^162+2712x^163+2295x^164+1488x^165+7836x^166+6048x^167+5253x^168+2316x^169+13524x^170+10920x^171+8307x^172+4452x^173+21048x^174+14844x^175+11664x^176+6144x^177+25404x^178+16872x^179+12780x^180+5688x^181+23004x^182+13416x^183+8328x^184+3228x^185+12540x^186+6888x^187+3243x^188+852x^189+3264x^190+1308x^191+546x^192+60x^193+300x^194+144x^195+30x^196+21x^200+24x^204+6x^208+3x^212+6x^216+6x^220 The gray image is a code over GF(4) with n=236, k=9 and d=158. This code was found by Heurico 1.16 in 231 seconds.