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 1 1 1 2 1 1 1 1 2 1 2 1 1 0 2 0 0 0 0 2 2 2 2a 0 2 2a+2 2a 2a+2 2a 2 2 2a 0 2a+2 2a 2 2a 0 2 0 2a+2 2a 2 2a+2 2a 0 2a 0 2a 2 2a 2 2a 2 0 0 0 0 2a+2 2a 2a 2a 2 2 0 2a+2 2 2 0 2a+2 0 2a 2 2a+2 2 2a 2 2 2 2 0 0 0 0 2 0 0 2 2a+2 2a 2a 2a 0 0 2a 2a 0 2a 2a+2 2a 2a+2 2a+2 0 2 2a+2 0 2a+2 0 2a 2a 2a 2a 2a+2 0 2a+2 0 2a+2 0 2 2a 2a+2 2a+2 2 2 2a+2 2a+2 0 0 2 2a+2 2a+2 2 0 2a 2 2a+2 2a 2a+2 0 2a 2a+2 2 2a+2 0 2a 2 2a 2 0 0 2 0 0 0 2 0 2a+2 0 2 2a 2a+2 2 2 2 0 2 2a+2 2 2 2a+2 2a+2 2a+2 2a 0 2a+2 2a+2 0 2 2a 0 2a+2 0 2a 2 2a 2 0 2 2a 2a 0 2 2a 2a 2a 2a+2 2a+2 2a 2a+2 0 2a+2 2a 2 2 2a+2 2a+2 2a+2 0 0 0 2a+2 0 2 2a 0 2 2a+2 0 2a+2 2 0 0 0 0 2 2 2 2a+2 2 2 2 2a 0 0 0 2a 2 2a 2a+2 2a+2 2a 0 2a 2 2a 2a 0 0 2a+2 2a+2 2a+2 2a 2 0 0 2 2 2a+2 2a 2 2a+2 2 0 2a 2 0 2a+2 0 2a+2 2a+2 2 2a 2a 2 2a 0 2a 2a+2 0 2 2a 2 2a 2a 0 2a 2 2a 2a+2 generates a code of length 69 over GR(16,4) who´s minimum homogenous weight is 192. Homogenous weight enumerator: w(x)=1x^0+84x^192+201x^196+48x^198+156x^200+432x^202+159x^204+1296x^206+114x^208+1296x^210+45x^212+66x^216+57x^220+39x^224+30x^228+18x^232+27x^236+12x^240+6x^244+3x^248+3x^252+3x^264 The gray image is a code over GF(4) with n=276, k=6 and d=192. This code was found by Heurico 1.16 in 0.242 seconds.