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 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X X X 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 0 2 2 0 2 0 2 2 2 0 0 0 2 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0 0 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 2 2 0 2 2 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 0 2 0 2 2 2 2 2 0 0 2 0 0 2 2 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 2 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 0 2 0 2 2 0 2 2 0 2 2 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 2 0 2 2 0 2 2 0 2 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 2 0 0 2 0 0 0 0 2 0 2 0 2 2 2 0 0 0 0 2 2 0 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 0 2 2 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 0 2 2 0 0 0 2 0 0 0 2 2 0 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+47x^78+70x^80+40x^82+80x^84+512x^85+131x^86+88x^88+8x^90+29x^94+16x^96+1x^102+1x^160 The gray image is a code over GF(2) with n=340, k=10 and d=156. This code was found by Heurico 1.16 in 1.9 seconds.