The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3 a 3a^2+2 0 2a^2+3 a^2+3a+3 a^2+3a 3a^2+2a+3 2a^2+3a+1 1 2a^2+3 a^2+3a+3 a a+2 2a^2+3a+1 a^2+3a 1 0 3a^2+2a+3 0 0 0 2a^2+2 0 2 2 2a+2 2 2a^2 2a+2 2a^2+2 2a^2 2a^2 0 0 2a^2 2a^2+2 2 2 2a 2a^2+2 2a^2+2a 2a+2 2a^2+2a 2a^2+2a+2 2a^2+2 2a^2+2a 0 0 0 0 2 2a^2+2 2a^2+2a+2 2a+2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2 2a^2+2a 2a 2a^2 2a^2+2a+2 0 2a^2+2a 2a^2+2a+2 2a 2a+2 2a+2 2a^2+2a 0 2a+2 2a^2+2a 2a^2 2a^2+2 0 generates a code of length 28 over GR(64,4) who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+168x^168+336x^175+1505x^176+448x^182+7056x^183+5866x^184+6272x^190+49392x^191+15932x^192+21952x^198+115248x^199+36596x^200+679x^208+602x^216+91x^224 The gray image is a code over GF(8) with n=224, k=6 and d=168. This code was found by Heurico 1.16 in 5.61 seconds.