The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 0 X+2 1 1 1 1 X+2 2 1 1 1 1 2 X 1 1 1 2 1 1 X+2 1 1 2 1 1 1 1 1 X 1 X 2 1 1 1 1 X+2 1 1 0 1 1 1 1 X+2 1 X X+2 2 0 1 1 X+2 0 2 1 1 1 1 0 X+2 1 X 1 1 1 1 1 1 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 X+1 1 1 2 3 X+3 X+2 1 1 X+2 X+3 3 X+2 1 1 3 0 X+3 1 X+2 0 1 1 2 1 X+1 1 X+3 3 0 1 3 1 1 X+3 X+3 X 0 1 X+3 1 1 X+2 3 3 X 1 0 1 1 X 1 X+2 X+3 1 1 1 X+3 X+1 X 0 1 1 X+2 1 X 0 2 X+2 0 0 0 0 X 0 X+2 0 X+2 0 X+2 X 2 X+2 0 2 0 X+2 X 2 X X 2 X+2 2 2 X 0 X+2 X 2 2 X 2 2 0 2 X+2 X+2 X+2 0 X+2 2 X 0 X 0 X X+2 X+2 0 X+2 X+2 2 0 0 X+2 X+2 0 X 0 2 X 2 X X X X+2 X X+2 0 2 X X+2 X+2 2 2 2 2 2 2 X+2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 2 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 2 2 2 2 2 2 2 0 0 2 2 2 0 0 0 0 2 2 2 2 2 0 0 2 0 0 2 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 0 0 2 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 2 0 2 2 0 0 0 2 0 0 0 0 2 0 2 2 0 2 2 0 0 0 0 2 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 0 2 2 0 0 2 2 0 0 2 2 2 0 2 2 0 0 0 2 0 2 2 2 0 2 2 0 2 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 0 2 2 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 0 2 0 2 2 0 2 2 0 2 2 2 2 2 0 0 0 0 2 0 2 0 2 2 2 0 0 2 2 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 0 0 0 2 2 2 2 2 2 2 0 0 2 2 0 2 0 0 2 2 2 0 0 0 2 2 0 0 2 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 2 0 2 0 0 0 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+29x^74+78x^75+206x^76+216x^77+454x^78+340x^79+727x^80+446x^81+780x^82+498x^83+811x^84+472x^85+838x^86+438x^87+630x^88+308x^89+373x^90+144x^91+145x^92+70x^93+60x^94+30x^95+22x^96+20x^97+15x^98+8x^99+13x^100+2x^101+6x^102+4x^104+2x^105+2x^106+1x^108+2x^110+1x^114 The gray image is a code over GF(2) with n=336, k=13 and d=148. This code was found by Heurico 1.16 in 5.84 seconds.