The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X+2 1 1 1 0 1 1 X+2 1 0 1 1 X+2 1 1 0 1 1 X 1 1 1 1 1 0 X+2 1 2 1 1 1 1 1 1 X+2 1 1 1 1 1 1 1 1 X 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 1 1 1 1 1 2 1 1 X+2 X 1 0 1 X+1 X+2 1 1 0 X+1 1 3 1 X+2 X+1 0 1 3 X+2 1 X+1 1 0 3 1 X X+1 1 0 X+2 1 X+2 1 0 X+1 2 1 1 3 1 2 3 X+2 X+2 0 X+3 1 X+2 0 X X 2 X+2 1 2 2 X+3 1 0 1 X+1 X 2 2 X 0 X+2 3 X 1 X 0 X+1 3 1 1 3 3 X+1 X+3 X+1 X X 3 1 1 X+3 0 0 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 2 2 2 0 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 0 2 0 2 2 0 2 2 2 2 2 2 2 0 0 2 2 0 0 2 0 0 0 2 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 2 0 0 2 2 0 0 0 2 2 0 2 2 0 0 0 0 2 0 2 0 2 0 0 2 0 2 0 2 0 0 2 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 0 2 0 0 0 2 2 2 2 0 0 2 0 2 0 2 0 0 0 0 0 0 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 2 0 2 2 0 0 2 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 2 0 0 2 0 2 0 2 2 2 2 2 0 0 2 2 0 2 0 0 2 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 2 2 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 2 2 0 2 2 2 2 2 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+43x^78+120x^79+157x^80+162x^81+183x^82+178x^83+142x^84+138x^85+172x^86+154x^87+152x^88+134x^89+88x^90+118x^91+50x^92+14x^93+21x^94+6x^95+8x^96+1x^98+2x^102+1x^110+2x^112+1x^126 The gray image is a code over GF(2) with n=340, k=11 and d=156. This code was found by Heurico 1.16 in 0.634 seconds.