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 X 0 1 1 0 1 1 1 1 0 1 X 1 1 0 1 1 1 X 2 1 1 0 1 2 1 1 X 1 1 X X 1 X 1 X 1 X X 1 1 2 1 1 X 0 1 X X 1 0 X 0 0 0 0 0 0 2 X X+2 X+2 X+2 X+2 X+2 X X+2 2 X+2 2 X 0 2 X+2 0 X X+2 X 2 2 X+2 0 X 0 0 X+2 2 X X X X X 2 0 0 X X X X X+2 X X+2 0 X+2 X X 2 X+2 X X+2 X X 0 2 X X+2 2 2 X X X X+2 0 2 X+2 X+2 0 X X 0 2 X 0 0 0 X 0 0 X 0 0 0 X X+2 X+2 X X 2 X+2 X 0 2 0 2 X 0 0 X 2 X+2 X+2 X+2 0 0 2 X+2 X X X+2 2 X+2 X+2 X+2 2 X+2 X X+2 X 0 X 0 0 2 X+2 2 0 0 0 X 2 X+2 X X+2 X X X+2 0 2 X+2 2 X X+2 X 0 2 0 2 X+2 X+2 X 2 0 X+2 X 0 2 0 X 2 X+2 X+2 2 0 0 0 X 0 X X X 0 2 0 X X+2 X X 2 2 X+2 0 2 X X+2 2 X+2 0 2 0 X X 0 X X X+2 X+2 X+2 X X X+2 0 0 X X+2 X X 2 2 0 X X+2 2 2 X+2 0 0 2 X X+2 2 0 X+2 X+2 0 2 X+2 0 0 X X 2 X+2 X+2 2 X X 2 2 X 2 X 2 2 X+2 X X+2 2 0 0 0 0 0 X X 2 X+2 X 2 X 0 X 2 X+2 X+2 2 X+2 X 0 X 0 X+2 2 0 0 X+2 0 2 X+2 X+2 X 2 X+2 X X 2 X 0 X+2 2 0 X X+2 X+2 0 X+2 X 0 2 2 2 2 X X X 2 X 0 0 0 0 X X 2 0 2 X X X X 0 X X X X X 0 X+2 2 X X 0 2 0 X+2 0 0 0 0 0 2 2 2 0 0 0 2 2 0 0 0 2 0 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 2 2 0 2 0 2 2 2 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 0 2 0 0 2 2 2 0 2 0 0 0 0 0 0 2 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+74x^77+152x^78+144x^79+140x^80+208x^81+323x^82+330x^83+301x^84+304x^85+389x^86+370x^87+208x^88+236x^89+232x^90+156x^91+84x^92+98x^93+120x^94+48x^95+24x^96+28x^97+53x^98+34x^99+7x^100+12x^101+11x^102+6x^103+2x^104+1x^128 The gray image is a code over GF(2) with n=344, k=12 and d=154. This code was found by Heurico 1.16 in 64.1 seconds.