The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 2a+2 1 1 2a+2 1 1 1 0 1 0 2 1 1 1 1 2 1 1 1 1 2 2 2a 1 1 1 1 1 0 1 1 2 1 1 1 1 1 1 1 1 1 0 1 1 2a+2 1 0 1 0 0 0 2a+2 1 3a+2 3a+3 2a+3 2a+3 a 3a+2 1 3a+3 a+1 1 1 a+1 a 1 2a 1 1 1 2a+2 1 a 0 3a+1 3a+2 a+3 3a+2 1 1 1 2a 3a+1 a+2 0 2a+2 1 3a+3 a+2 1 3a a+1 a+3 3a+2 2a+3 2a+3 a+1 3a+2 a+1 1 2a+3 3a+1 1 2a 0 0 1 1 a 3a+3 1 3 1 a 0 2 3a+3 3a+3 a+3 3a 3 3a+3 0 a+2 a 3a+1 2 a+2 a 3a 2a 3a 1 2a 2 2a+1 3a+3 0 a+3 3 2a+1 3 2a+1 0 a+2 a+2 3a 2a+2 3 a+1 a+1 0 3a 2a+2 3a+3 2a a+1 a+1 2a+3 2a+3 a a+2 3 0 0 0 2a+2 0 0 0 2 2 2 2a+2 2a 2a+2 2a+2 2a 2a 2a 2 2a+2 2a 2 2 2a 0 2a+2 2a 0 0 2 2a 2a 2 2a+2 2a 2a 2a 2a 2a 2a 2a+2 2a 2a+2 0 2a+2 0 0 0 2 2 0 2a+2 2a 0 2 2 2a 2a+2 2a+2 2a 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 2a+2 0 2a+2 2a+2 0 2 2a 0 2a 0 0 2 0 2 2a+2 2a 2a+2 0 2a+2 2a 0 2 2a 0 2a+2 2a 0 2 2 2 0 0 2 2 2 0 generates a code of length 59 over GR(16,4) who´s minimum homogenous weight is 160. Homogenous weight enumerator: w(x)=1x^0+159x^160+96x^161+264x^162+648x^163+1443x^164+360x^165+1008x^166+1776x^167+3171x^168+756x^169+1584x^170+2592x^171+4803x^172+924x^173+2112x^174+3708x^175+5571x^176+1512x^177+3084x^178+4344x^179+6648x^180+1392x^181+2592x^182+3384x^183+4635x^184+852x^185+1272x^186+1728x^187+1833x^188+204x^189+336x^190+252x^191+303x^192+48x^193+36x^194+30x^196+24x^200+24x^204+18x^208+3x^212+6x^216 The gray image is a code over GF(4) with n=236, k=8 and d=160. This code was found by Heurico 1.16 in 17 seconds.