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 2X+2 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 2X+2 X 1 X 1 2X+2 1 0 2 0 2 0 2 0 2X+2 2X 2 2 0 2 0 2X 2X+2 0 2 2X 2X+2 0 2 2X 2X+2 0 2 2X 2X+2 2 0 2X 2X+2 2X+2 2X 0 2 2 2X+2 0 2X 2 2X 0 2X+2 0 2 2X 2X+2 2X+2 2X 2X 2X+2 0 0 2 2 0 2X 2X 2X+2 2X+2 0 2X 2 2 0 2 2 2 2 2X+2 2 2X+2 2X+2 0 0 2 2 2 2 0 2X 0 0 0 2X 0 0 0 0 0 2X 0 0 0 0 2X 2X 0 0 0 0 0 2X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 0 0 2X 2X 0 2X 2X 2X 2X 0 0 0 2X 0 0 2X 2X 0 0 0 0 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 0 0 0 0 2X 0 2X 2X 0 2X 2X 0 0 0 0 2X 0 0 0 2X 0 0 0 0 2X 0 0 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X 0 0 0 2X 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 0 0 0 2X 2X 0 2X 0 0 0 2X 2X 2X 0 0 0 0 0 0 0 0 2X 0 0 0 0 0 0 2X 0 2X 2X 0 0 2X 2X 2X 0 0 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 0 2X 0 2X 0 2X 0 2X 2X 2X 2X 2X 0 0 2X 2X 0 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 0 0 2X 0 0 2X 0 2X 0 0 2X 0 0 2X 0 2X 0 2X 2X 2X 0 0 0 0 0 0 0 2X 0 2X 0 0 2X 0 2X 0 0 0 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 2X 2X 2X 2X 2X 2X 0 0 2X 0 2X 2X 2X 2X 2X 2X 0 0 2X 2X 0 0 0 2X 2X 2X 0 2X 0 0 0 0 0 2X 2X 0 2X 0 2X 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 2X 0 0 0 0 0 0 0 0 2X 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 0 2X 0 0 2X 2X 2X 0 0 2X 2X 0 2X 2X 2X 2X 0 2X 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 0 0 0 2X 2X 0 0 0 2X 2X 0 0 0 0 2X 2X 0 2X 2X 2X 0 2X 2X 2X 2X 0 0 0 2X 0 0 0 generates a code of length 83 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+24x^76+18x^77+46x^78+76x^79+35x^80+154x^81+352x^82+660x^83+416x^84+62x^85+92x^86+20x^87+18x^88+14x^89+15x^90+12x^91+16x^92+8x^93+6x^94+2x^96+1x^154 The gray image is a code over GF(2) with n=664, k=11 and d=304. This code was found by Heurico 1.16 in 0.781 seconds.