The generator matrix 1 0 0 1 1 1 0 1 1 2 1 2 1 2 1 X+2 X 1 1 X 1 1 X+2 1 X 1 2 1 X 1 2 X+2 0 1 1 1 1 1 X 1 X 1 1 X+2 1 1 1 2 0 0 1 X+2 X+2 1 1 X X+2 1 1 X+2 X+2 1 1 1 X+2 X+2 0 1 1 1 1 1 1 1 1 0 X X+2 X 1 1 0 0 1 1 0 1 0 0 1 1 1 2 1 1 3 1 2 X X+3 1 X+2 X X+3 1 X+2 X+1 1 X+2 2 X 1 X+3 1 1 0 1 1 X+2 X X+1 X 2 0 3 X X+2 1 1 X 0 3 1 X+2 1 X+3 1 1 X+2 X+3 1 1 X+2 X+1 X+2 1 X+1 X 0 1 1 1 3 1 2 2 X 2 X 1 1 1 0 X 1 X+2 1 1 2 1 0 0 1 X+1 X+3 0 X+1 X 1 3 X+2 X 3 1 0 2 1 3 X+1 X+3 X X+2 1 X+3 1 0 2 1 X+2 X+1 1 X+2 3 0 1 X+2 X+2 3 1 1 1 X X X+1 3 X+2 0 X+2 1 X 1 2 0 2 0 X+3 0 X+1 X+3 1 X X+3 X+3 2 X+2 3 X+1 X+1 X+2 X+1 X+1 X+3 0 2 X+2 2 X+1 1 1 3 X+3 X+3 0 X+2 1 0 0 0 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 2 2 0 2 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 0 0 2 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 2 2 2 0 0 2 0 0 2 2 2 2 0 0 2 0 2 0 0 2 2 2 2 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 0 0 2 0 2 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 2 2 0 2 0 2 0 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+61x^78+260x^79+200x^80+504x^81+377x^82+464x^83+230x^84+402x^85+199x^86+330x^87+159x^88+216x^89+142x^90+176x^91+70x^92+126x^93+67x^94+46x^95+7x^96+28x^97+17x^98+4x^99+4x^100+4x^101+1x^102+1x^104 The gray image is a code over GF(2) with n=340, k=12 and d=156. This code was found by Heurico 1.16 in 1.26 seconds.