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 1 0 1 1 1 1 1 X 1 0 1 1 2 1 1 1 1 1 0 1 X 1 1 1 2 1 2 1 1 1 0 1 1 1 X 1 0 X X 1 X 1 1 0 1 0 1 X 1 0 1 0 1 X 1 0 X 1 1 0 X 0 0 0 0 0 0 2 X X+2 X+2 X X X+2 X+2 2 2 0 X X X+2 X 0 X X 0 X+2 X 2 2 2 X+2 X+2 0 X+2 X+2 2 X X+2 X+2 X+2 0 2 X X 2 X+2 2 0 2 X 0 X+2 X 0 0 0 X+2 2 2 X X+2 X X X+2 X+2 X X 0 X+2 2 2 X X 0 X X X+2 2 X X+2 0 0 0 X+2 X 2 X X+2 2 0 0 0 X 2 0 0 X 0 0 0 X X+2 X+2 X X 2 X X 2 0 2 X+2 X+2 X+2 0 X X+2 X+2 0 X+2 X+2 2 2 0 0 2 2 X+2 0 X+2 X+2 2 X+2 2 X+2 X 2 0 X 0 X 0 X+2 2 X+2 0 X+2 0 2 0 0 X X X+2 2 X+2 X+2 X 0 0 2 2 X+2 2 X+2 0 X+2 0 X+2 X 2 X+2 2 X X+2 X X 2 X+2 X 2 X+2 0 X+2 0 0 X 0 2 0 0 0 0 X 0 X X X 0 2 0 X X+2 X+2 X 2 2 0 0 0 2 2 X+2 X X+2 X X 0 X 2 X+2 X+2 X+2 X X+2 X+2 X+2 X X 0 2 X+2 0 X X+2 X X+2 0 0 X X+2 X+2 X X 0 2 X+2 X+2 X 0 0 2 X X+2 0 X X X 2 0 X+2 X X+2 X 2 0 2 0 X 0 X+2 X X X X+2 X 2 2 0 X+2 X+2 X X+2 X+2 X 0 0 0 0 0 X X 2 X+2 X 2 X 0 X 0 X X X+2 X+2 0 2 X X 2 0 2 X+2 X+2 0 X 0 2 X X+2 X X+2 X+2 2 0 2 0 X 0 2 2 X 0 X+2 0 X+2 X X X 0 0 X+2 X 2 2 0 0 X X+2 X+2 X+2 X+2 2 X+2 0 X X+2 X 0 X+2 X 2 X X 2 2 X+2 2 X 2 X+2 X 0 2 X X+2 X X+2 2 X+2 2 X+2 X 0 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 0 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 2 0 2 2 0 0 2 0 0 2 0 2 0 2 0 0 0 2 0 0 2 2 0 2 0 2 2 2 2 0 generates a code of length 96 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+46x^86+58x^87+100x^88+190x^89+133x^90+346x^91+132x^92+518x^93+103x^94+472x^95+107x^96+556x^97+83x^98+406x^99+58x^100+258x^101+66x^102+122x^103+74x^104+48x^105+57x^106+50x^107+30x^108+24x^109+17x^110+12x^111+6x^112+6x^113+6x^114+6x^115+4x^116+1x^146 The gray image is a code over GF(2) with n=384, k=12 and d=172. This code was found by Heurico 1.16 in 2.52 seconds.