The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 1 1 2 1 2 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 2a 2a+2 2 2a+2 2 2a+2 2a 2a+2 2a+2 2a 0 2a+2 2a 2 2 2a+2 2a 2a 2 0 2a 2a 2a 0 2 2a 2a+2 0 2a+2 2a+2 2a 2a 2a 2a 2a 2a+2 2a 2a 0 0 0 0 2a 2 2a 2 0 0 2a 2a+2 2a 2a+2 2a+2 0 2 2 2a+2 0 2 2a+2 0 0 2 2a 2a+2 2 2 2 0 2a 0 0 0 2 0 0 0 0 2 2 2 2a 0 2a 2a+2 2a+2 2a+2 2a 2a+2 2a+2 2 2a 0 2 0 2a 2 2 2 2a 0 2a 2a 2a 2a+2 2 2a 2 2a 2a+2 2a 2 2 2a+2 2a+2 2a 2a 0 2a 2a 2a 2a 2a 2 0 2a+2 2 2 0 2 2a 0 0 2a 2 2 0 2a+2 2 2 2a+2 2a+2 2 0 0 2a+2 2a 2a+2 0 2a+2 2 2 0 0 0 0 2 0 0 2 2a+2 2a 2a 2a 2a 0 2a+2 2a 2a 2a+2 2a 2a+2 0 2a+2 0 2a 2a+2 0 2 2a 2a 0 2a 0 2a+2 2a+2 2a 2 2a 2a+2 0 2a 2a+2 0 2 2a+2 2a 2 2a+2 2a+2 2a 2 2a 2 2a+2 2 0 0 2 2 2a 0 2 2a 2a 2 2a 2 0 2a+2 2a 2a+2 2a+2 2a+2 2a 2 2a 2 2a+2 0 0 2a+2 0 2a+2 0 0 0 0 0 2 0 2a+2 0 2 2a 2a+2 2a 2a+2 0 2a 2a 2 0 2 2a 2a 2 2a 2a+2 2a 0 0 0 0 2a+2 2a 2a+2 0 2a+2 0 2 2 2a+2 2a+2 2a 0 2 2a+2 2a+2 0 2a 2a 2a 2a+2 2 2a+2 2a 2a 0 2a 0 2a+2 2 2a 0 2 2a+2 2a+2 2a 2a 2a+2 2 2a+2 0 2 0 2 0 2a+2 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2a+2 2 2 0 2a+2 2 2a 2a+2 2 2 2a+2 0 2a+2 2 2a 2a+2 2 0 2a+2 2 2 2a+2 2a+2 2a 2a 0 0 2 2a 2a 2a 0 0 0 2a+2 2 2 2 2 0 0 2a+2 0 0 2 2a 2a+2 2a+2 2a 2 0 2a+2 2a+2 2a 2a+2 0 2a+2 2 2a 2a 2a+2 2 2 2 2 0 2a 2a+2 0 0 0 2a+2 2 0 generates a code of length 82 over GR(16,4) who´s minimum homogenous weight is 220. Homogenous weight enumerator: w(x)=1x^0+24x^220+267x^224+384x^228+12x^231+438x^232+180x^235+390x^236+1080x^239+363x^240+3240x^243+333x^244+4860x^247+351x^248+2916x^251+306x^252+294x^256+198x^260+237x^264+183x^268+150x^272+69x^276+66x^280+21x^284+9x^288+9x^292+3x^308 The gray image is a code over GF(4) with n=328, k=7 and d=220. This code was found by Heurico 1.16 in 3.85 seconds.