The generator matrix 1 0 0 0 0 1 1 1 2 1 1 0 1 X+2 1 X+2 X+2 1 2 0 0 1 1 X+2 1 1 1 1 1 X 1 X X 0 1 1 2 2 1 1 X+2 1 0 0 1 1 0 1 X 1 1 2 1 X 0 X X 2 X 1 1 1 1 1 X+2 1 X+2 X 0 1 2 X 2 0 1 2 0 1 1 1 2 2 X+2 1 1 1 1 1 1 0 0 X+2 X 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 3 1 X+3 1 2 2 1 1 2 2 1 X X X+3 X+3 X+3 X 1 X 1 X 2 X+2 X+3 X+2 X+2 X+1 1 X 0 1 X 3 X 1 X 1 X+2 X+3 1 1 X+2 1 1 0 1 1 X X+3 0 2 X+2 1 X+2 1 0 2 0 1 0 X 0 X+3 1 1 2 1 3 1 1 0 X+3 2 1 1 3 X+3 2 1 X+2 1 X+3 2 0 0 0 1 0 0 0 1 1 1 3 1 2 X 1 X+2 X+3 1 X+2 X+1 X 1 2 X+2 X+2 X+1 0 X+3 X+2 3 0 X+3 1 0 1 1 X+1 0 X+2 X+3 2 1 X+2 0 1 2 X 3 X+3 X 3 X+2 X+1 X+1 1 X+3 X+1 0 X X X+3 1 X+2 0 2 X+3 0 2 X+2 X+2 2 0 0 X+2 1 2 X+2 X+2 3 3 X+1 0 1 1 3 3 X 0 X 3 2 X+2 0 1 X+3 0 0 0 0 0 1 0 1 1 0 3 2 X+1 X+3 X+2 3 3 2 X+1 X X 1 0 X+3 3 1 1 X+2 1 X+1 X+2 X 0 3 1 2 X+1 1 0 1 0 3 0 X+3 2 3 2 X+2 X 0 0 2 X+2 2 X+1 0 1 X+3 1 1 1 3 X+1 0 3 2 X X X X+2 1 X+1 X+3 1 1 1 X+1 0 X 3 2 X 3 3 2 X+1 X+2 0 1 2 X 1 0 X 1 X 2 0 0 0 0 0 1 1 2 3 1 0 X+1 X+3 X+1 0 0 X+1 2 1 2 2 X+3 X 3 X+1 X+3 X X X+3 0 1 3 3 X+2 X+2 X+3 2 1 X+3 1 2 1 2 X X+2 1 X+1 2 X+3 3 2 X+2 1 X+3 X+2 X+1 2 1 X+2 X+1 3 2 X+2 1 X+1 X+2 X+2 0 1 3 1 1 X+2 X+3 X+2 X+3 X+3 X+3 0 X 2 3 1 3 X+1 X+3 X+3 0 0 X+3 X 1 1 0 X+1 X+2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 2 2 2 0 0 2 0 0 2 2 0 0 2 0 2 0 2 0 0 2 2 0 2 0 2 2 0 0 0 0 2 0 2 0 0 2 2 0 2 0 0 2 0 0 2 0 0 2 2 0 0 0 2 2 2 generates a code of length 96 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+66x^84+418x^85+847x^86+1232x^87+1667x^88+2410x^89+2538x^90+3426x^91+3719x^92+4252x^93+4611x^94+5140x^95+4903x^96+5088x^97+4629x^98+4534x^99+3885x^100+3558x^101+2468x^102+2108x^103+1426x^104+1064x^105+621x^106+368x^107+228x^108+128x^109+90x^110+54x^111+31x^112+4x^113+4x^114+4x^116+4x^117+2x^119+4x^120+2x^121+2x^124 The gray image is a code over GF(2) with n=384, k=16 and d=168. This code was found by Heurico 1.13 in 95.7 seconds.