The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 2a+2 1 1 1 0 1 1 1 1 1 1 0 1 2a+2 2 1 2 1 1 2a+2 1 1 1 2a 1 0 1 1 2 1 1 1 1 2 1 2 1 0 1 1 0 1 0 0 0 2a+2 1 3a+2 3a+3 2a+3 2a+3 a 3a+2 3a+3 1 a+1 1 1 a+1 a 1 2a 3a+3 a+2 2a+2 0 a 2a+2 3a 1 1 a+1 1 3a+1 2a+1 1 a+1 a+3 2a+3 1 3a+2 1 3a+2 a 0 a+2 a+1 3a+3 a 1 2a+3 2a+2 0 1 3a+1 2a 0 0 1 1 a 3a+3 1 3 1 a 0 2 3a+3 a+3 3a+3 3a 3 3a+3 0 a+2 a 3a+1 a+3 2a+2 2 3a+2 a+2 1 3a+1 2a a+1 a+2 2a+3 2a 3a+2 a+3 2a+3 a 0 2a+2 0 3a 1 3a+2 1 a+2 2a 0 3a a+2 2a 1 3a 3a+1 3a+3 a+3 0 0 0 2a+2 0 0 0 2 2 2 2a+2 2a 2a+2 2a 2a+2 2a 2a 2 2a+2 2a 2 2 2a 2 2a+2 2 2a+2 2 2a 2a 2 2 2a 2a 2a 2a+2 2a+2 2a+2 0 0 2a 0 0 2 2 2a 0 2 2 2a 2 2a+2 2a+2 2a 2a+2 2 0 0 0 0 2 2a+2 2a 2 2a+2 2a 2a 2 2 2a 2a 0 2 2a+2 2 2a 0 2 2a+2 2a 2a+2 2a 0 2a 0 2a 0 2 2a 2a+2 0 0 2a 0 2 2 0 2a 0 2a+2 2 2a+2 0 0 2 2a+2 2 0 2 2a 2a 2a generates a code of length 56 over GR(16,4) who´s minimum homogenous weight is 152. Homogenous weight enumerator: w(x)=1x^0+237x^152+348x^153+252x^154+660x^155+1482x^156+1548x^157+1056x^158+1416x^159+2391x^160+2724x^161+1308x^162+2508x^163+3360x^164+4608x^165+1632x^166+3612x^167+3894x^168+4932x^169+2148x^170+3996x^171+4260x^172+4572x^173+1968x^174+2352x^175+2676x^176+2220x^177+708x^178+804x^179+867x^180+504x^181+144x^182+12x^183+180x^184+48x^185+48x^188+30x^192+15x^196+15x^200 The gray image is a code over GF(4) with n=224, k=8 and d=152. This code was found by Heurico 1.16 in 15.9 seconds.