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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X+2 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 X 1 1 X X X X 1 1 0 2X 0 0 0 0 0 0 0 2X 2X 2X 0 2X 0 0 2X 0 2X 2X 0 0 0 0 0 0 2X 2X 2X 2X 0 2X 0 0 0 2X 2X 0 2X 0 0 2X 2X 0 0 2X 0 2X 0 0 2X 0 2X 2X 2X 0 2X 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 2X 0 0 0 0 0 2X 2X 0 2X 2X 0 0 2X 0 0 0 0 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 2X 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 0 0 2X 2X 2X 2X 0 2X 2X 0 2X 0 2X 0 2X 0 2X 2X 0 0 0 0 2X 0 0 0 0 0 0 2X 0 0 0 0 2X 0 0 2X 0 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 0 0 0 0 0 2X 2X 0 0 2X 2X 2X 0 0 2X 2X 2X 0 0 2X 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 2X 0 2X 0 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 0 0 2X 0 0 0 2X 0 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 2X 0 0 2X 0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 0 0 0 0 2X 0 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 0 2X 0 2X 0 2X 0 0 2X 2X 0 2X 2X 0 0 0 0 0 0 2X 0 0 2X 0 2X 0 0 2X 2X 2X 0 0 2X 2X 0 0 0 2X 0 2X 2X 0 0 2X 0 2X 2X 0 2X 0 0 2X 2X 0 2X 0 2X 2X 2X 0 0 2X 0 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 0 0 0 0 0 0 2X 0 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 0 0 0 2X 2X 0 0 0 0 2X 2X 0 0 2X 2X 0 2X 0 0 2X 2X 2X 0 2X 0 2X 0 0 0 2X 0 2X 2X 2X 0 0 2X 2X 0 2X 0 2X 0 0 2X 2X 0 2X 2X 2X 2X 0 2X 0 2X 2X 0 2X 0 0 0 0 2X 0 2X 0 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 0 2X 0 0 0 2X 2X 0 2X 2X 0 0 0 2X 0 0 0 2X 2X 0 0 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 0 0 0 2X 0 2X 0 0 2X 0 2X 2X 2X 0 0 2X 0 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 2X 2X generates a code of length 84 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+40x^76+4x^78+120x^80+60x^82+256x^83+1137x^84+256x^85+60x^86+58x^88+4x^90+18x^92+25x^96+5x^100+3x^104+1x^152 The gray image is a code over GF(2) with n=672, k=11 and d=304. This code was found by Heurico 1.16 in 0.61 seconds.