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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 0 1 X 1 1 0 1 1 2 2 2 1 1 1 1 X 1 X 1 2 1 X 1 0 X 0 X 0 0 X X+2 0 2 X X+2 0 2 X X 0 2 X X+2 X 0 0 X 2 X+2 2 X 2 0 X+2 X+2 X X+2 0 2 X 0 X+2 0 X+2 0 X+2 2 2 0 X+2 2 X 0 X+2 2 X 0 X+2 X+2 2 2 X X X 2 0 X+2 X+2 2 X+2 0 X 0 X X 0 X+2 0 X+2 2 X+2 2 2 X+2 X 2 X 0 0 0 X X 0 X+2 X 0 2 X X 0 2 X+2 X 0 0 X X 0 X+2 2 X+2 2 2 X+2 X+2 2 0 X X 0 X 0 0 X X 2 0 X X+2 X+2 2 X 0 X+2 X+2 0 2 X 0 2 X+2 X 2 X+2 2 2 X+2 X X+2 X+2 X 2 0 X+2 X X X+2 2 X X+2 2 X 2 X X+2 X+2 X+2 X 0 X 2 X+2 X 0 0 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 0 2 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 2 0 0 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 2 2 0 2 2 0 2 2 2 2 0 2 2 0 0 2 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 0 0 2 2 0 0 2 2 2 0 2 2 2 2 0 0 0 2 0 2 2 2 0 2 0 2 2 0 2 0 2 2 2 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 0 2 2 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 2 0 0 2 2 0 0 0 2 2 0 2 2 2 2 2 0 2 0 2 0 2 0 0 0 2 0 0 2 0 0 2 0 2 0 0 2 0 0 2 2 0 0 2 0 0 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 2 0 0 2 2 0 2 0 2 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 2 0 0 2 2 0 0 2 2 2 2 0 0 2 0 0 2 2 2 0 0 2 2 0 0 2 2 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+50x^77+94x^78+60x^79+102x^80+112x^81+172x^82+198x^83+185x^84+234x^85+166x^86+162x^87+112x^88+92x^89+94x^90+62x^91+38x^92+18x^93+26x^94+26x^95+9x^96+4x^97+21x^98+4x^99+1x^100+2x^101+2x^102+1x^146 The gray image is a code over GF(2) with n=340, k=11 and d=154. This code was found by Heurico 1.16 in 1.18 seconds.