The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 X+2 1 1 1 1 0 1 1 0 X+2 X 1 1 1 1 0 2 1 1 1 1 1 1 2 1 0 1 2 0 1 1 X+2 1 X+2 1 1 1 2 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 1 X+2 3 3 X+2 1 X+1 0 1 1 1 X+1 0 X+2 3 1 1 0 X+1 0 2 0 X+3 1 3 1 X+1 1 1 X+1 2 1 X+2 1 3 X+1 X+3 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 2 0 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 2 2 0 2 0 2 2 2 2 0 0 0 2 2 2 0 0 0 0 2 2 2 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 2 2 0 2 0 0 0 2 2 0 0 2 0 0 2 0 0 0 2 2 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 0 0 0 2 0 0 2 2 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 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 0 2 0 0 2 0 0 0 2 2 0 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 0 2 0 2 0 2 0 2 0 0 2 2 0 0 2 0 0 2 2 2 0 2 0 2 2 0 2 0 0 0 2 0 0 2 0 2 2 2 generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+43x^46+52x^47+212x^48+106x^49+382x^50+138x^51+606x^52+210x^53+655x^54+218x^55+539x^56+158x^57+401x^58+94x^59+157x^60+38x^61+41x^62+10x^63+13x^64+8x^66+4x^68+5x^70+3x^72+1x^74+1x^76 The gray image is a code over GF(2) with n=216, k=12 and d=92. This code was found by Heurico 1.16 in 0.776 seconds.