The generator matrix 1 0 0 1 1 1 0 1 X+2 X 1 X 1 1 1 X 2 1 1 X 1 1 0 1 2 1 1 2 X+2 1 1 1 X 2 X+2 1 0 1 1 X X 1 2 1 1 X 1 2 1 X 1 1 1 1 X+2 0 1 1 1 1 1 X 0 1 X 0 1 1 1 0 1 2 1 1 X+2 1 1 1 1 1 1 1 X+2 X+2 1 1 X+2 1 1 2 1 1 0 1 0 0 1 1 1 X 1 X+2 X+2 1 3 3 X 1 X 2 X+3 1 X+1 0 1 X 2 1 X+3 1 2 X+1 X+3 X+2 1 1 1 0 X 0 3 2 1 1 1 X X+1 X+2 X+2 1 X+3 1 X+3 X+1 X X X 1 X+3 1 0 1 X+1 X+2 1 2 1 1 1 3 X+3 2 1 0 2 X+1 1 1 X X+2 X X+3 2 1 1 1 X+2 2 2 3 X+3 1 2 X+2 0 0 1 X+1 X+3 0 X+1 3 2 1 0 1 1 X+2 X+3 X 1 X 2 X+1 3 3 X+2 X+2 1 1 2 3 1 X+3 X 2 3 0 2 1 1 0 0 1 X 2 X+1 X+3 X+1 1 1 X X X+1 3 1 2 X+3 1 X+3 X+1 X+2 3 X 2 1 X+1 1 X+3 1 X+3 X+1 0 1 1 1 X+1 X+2 X+3 3 X X+2 X+2 X X 2 X+2 X+2 3 2 1 X+1 X 3 X+1 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 2 2 0 2 2 0 2 0 0 0 2 2 2 2 0 2 2 0 0 0 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 2 2 2 0 2 0 0 2 0 0 2 2 2 0 0 2 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 0 2 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 0 0 2 0 2 0 2 0 2 2 0 0 2 0 2 0 2 0 2 2 0 0 2 0 0 0 2 2 0 0 0 0 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 0 2 0 0 0 2 2 0 2 0 generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+128x^85+203x^86+306x^87+302x^88+480x^89+345x^90+440x^91+283x^92+278x^93+250x^94+226x^95+145x^96+176x^97+119x^98+128x^99+77x^100+54x^101+34x^102+48x^103+15x^104+28x^105+8x^106+4x^107+8x^108+8x^109+1x^110+1x^112 The gray image is a code over GF(2) with n=368, k=12 and d=170. This code was found by Heurico 1.16 in 1.48 seconds.