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 1 1 2a+2 2a+2 1 1 1 1 1 1 1 1 2a+2 2a+2 1 1 1 1 1 1 1 1 1 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 a+2 3a+3 3a+3 a 1 2a+2 3a+1 1 3a+2 3 3 2a 2 3a+2 1 1 0 3a+3 2 0 0 3a+2 3 3a+1 3a 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 a+1 2a+2 a 2a+3 a+1 1 a+2 2a+3 3a+2 3a 2a+1 3a+3 3a+3 3a+1 2a+3 2 2a+1 3a+3 2 a 3a+3 a+3 a+1 2a+3 2 0 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+2 1 a+1 3a+1 3a+2 2a+3 3a 0 3a 2a+1 3a+2 3a+2 a+3 1 3 1 2 3 3 3 3a+3 2a a+3 3a 3a+3 0 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 2 2 2a 2a+2 2 2a 2a 2a+2 2 2a 2 0 2 2a+2 0 2a 2a+2 2a+2 2a+2 2 2a+2 2 2a+2 2a+2 2a+2 2a generates a code of length 53 over GR(16,4) who´s minimum homogenous weight is 140. Homogenous weight enumerator: w(x)=1x^0+192x^140+348x^141+324x^142+936x^143+2148x^144+2280x^145+2076x^146+2904x^147+5892x^148+5172x^149+4440x^150+5628x^151+11031x^152+9276x^153+7908x^154+10260x^155+17706x^156+14676x^157+11604x^158+13284x^159+22845x^160+16956x^161+12132x^162+12816x^163+18819x^164+12876x^165+7824x^166+7380x^167+9087x^168+5076x^169+2556x^170+1956x^171+2184x^172+912x^173+288x^174+132x^175+144x^176+12x^177+30x^180+15x^184+6x^188+6x^192+3x^196+3x^200 The gray image is a code over GF(4) with n=212, k=9 and d=140. This code was found by Heurico 1.16 in 201 seconds.