The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2a 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2a+2 1 2 2a+2 1 1 1 1 0 2a+2 1 2a+2 1 1 0 1 0 0 2 2a+2 2 2a 2a+2 2a+3 a 2a+1 a+1 3a+2 3 3 1 3a 1 a a+1 3a 3a+1 0 a+2 0 3a+3 a+2 a+1 a+2 3a+3 3a 2a+3 2a+1 3 3a+3 a+3 a+3 2a+2 2a+3 1 1 2 3a+2 2a 1 1 1 a+3 2a+3 2a 3a+2 2a 1 a 1 3 a 0 0 1 0 2a+3 2 a 0 2a 3a+3 3a+1 2a+1 a+3 1 3a+2 3a 2a+3 1 2 a+2 0 2a+3 2a 2a+1 3a+3 3a+1 a+3 3a+2 3a a+3 3a+1 3a+2 a+3 a 2 3 a 2a 3a 2a+1 3a a 2a+1 3 1 3a+3 a+2 3a+1 3a+3 a+1 3a 2 1 3a 3a+3 2a+1 2a+2 3a 0 0 0 1 3a+3 2a+3 3a+1 a a+1 a+3 a+3 2a a+2 2 a 1 3a+1 3a 0 3 2a+1 3 3a+3 2 2a 3a 0 2a+2 3 2a+3 a+1 3a+1 1 2 3a+1 2a 2a 3a+2 2a 3 a+2 a+3 2a+3 3a+3 a+1 3a+1 1 2a 3 3a 3a 2a+2 1 a+3 3a+3 3a a+1 2a+2 generates a code of length 58 over GR(16,4) who´s minimum homogenous weight is 159. Homogenous weight enumerator: w(x)=1x^0+300x^159+492x^160+780x^161+732x^162+1872x^163+1794x^164+1632x^165+1368x^166+3108x^167+2796x^168+3132x^169+1956x^170+3348x^171+4002x^172+3708x^173+2364x^174+4080x^175+3450x^176+3732x^177+2364x^178+3960x^179+3216x^180+2664x^181+1416x^182+2484x^183+1743x^184+1092x^185+516x^186+804x^187+393x^188+156x^189+36x^190+12x^191+27x^192+3x^200+3x^204 The gray image is a code over GF(4) with n=232, k=8 and d=159. This code was found by Heurico 1.16 in 16.4 seconds.