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 2 1 2 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2a+2 1 1 2a 1 2a+2 1 1 1 0 1 1 1 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 3a+3 1 3a+1 2a a 2 1 3 2a+2 3a+2 1 a+3 3a 2 2a+1 a+1 2a+3 2a+1 a+2 2a+1 2 a 1 3a+3 a+2 2a+1 a+2 1 0 a+3 a+2 2a 2a+2 2a+1 1 2a+1 1 a+3 2 2a 1 1 2a+3 2a+2 1 a+2 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 a+3 2 2a+1 1 2a+1 a+2 a+3 3a+2 a+1 a+3 2a+1 2a 0 1 2a+2 a+2 a+1 3 a a+3 2a+2 a 2 2a 3a+2 2a 3 2a+1 2a+3 3 2 1 3a 2a+2 a+3 2a 0 a+2 3a+3 2a+3 2a+1 2 1 3 0 0 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 2a 0 2a+2 2a+2 0 2 0 2a+2 0 2a+2 2a 2 0 2a 2a 0 2 2a 0 0 2 2 2a 2 2 2a 2a 2 2a 0 2 0 2a+2 0 2a+2 2a+2 2a+2 2 2 2a+2 2 0 0 2a+2 2 0 0 0 0 0 2 2a+2 2a 2 2a+2 2a 2a 2 2 2a 2a 0 2 2a+2 2 2a 0 2a+2 2a+2 2a+2 2 2a+2 2 2 0 2a 2a+2 2a 0 2a 2 2a 2a+2 2 0 2a+2 2a 2a 2a+2 0 2 2a 2 2a+2 2 2a 2a 0 2a+2 2a 2a+2 2 2a+2 2a+2 2a+2 2a 2 2a 2 2 2a+2 2a 2 generates a code of length 67 over GR(16,4) who´s minimum homogenous weight is 184. Homogenous weight enumerator: w(x)=1x^0+195x^184+648x^185+552x^187+993x^188+2196x^189+1644x^191+1926x^192+3900x^193+2784x^195+2649x^196+5328x^197+3936x^199+3171x^200+5976x^201+4152x^203+3159x^204+5760x^205+3516x^207+2469x^208+4668x^209+1632x^211+1305x^212+1776x^213+216x^215+369x^216+456x^217+72x^220+12x^221+24x^224+21x^228+15x^232+6x^236+6x^240+3x^244 The gray image is a code over GF(4) with n=268, k=8 and d=184. This code was found by Heurico 1.16 in 19.8 seconds.