The generator matrix 1 0 1 1 1 X+2 1 1 2 X 1 1 2 1 1 1 X X 1 1 1 1 1 X+2 2 1 1 1 1 X 2 1 1 2 0 1 X 2 1 1 1 X+2 1 1 1 1 0 1 1 X+2 X+3 1 2 X+1 1 1 X 3 1 1 0 X+3 1 1 X+3 2 X 3 1 1 1 1 X+3 X+3 X+1 1 1 X+2 X+3 X 1 X+1 1 1 2 2 X 1 X 2 1 0 0 0 X 0 X+2 0 X 2 X+2 X+2 X 2 X X 0 X 2 X+2 2 X+2 X+2 2 X 0 X+2 0 X X+2 X X+2 X 2 2 X+2 X 0 X 0 X+2 0 X+2 2 2 0 X+2 0 0 0 0 2 0 0 0 2 2 0 0 0 2 2 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 0 2 0 0 2 0 2 2 0 2 0 0 0 2 2 0 2 0 0 0 0 2 0 0 0 0 2 2 0 2 0 2 0 2 0 2 0 2 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 2 0 2 2 0 2 0 0 0 2 0 0 2 0 2 0 0 2 2 0 generates a code of length 46 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+35x^40+132x^41+111x^42+254x^43+173x^44+266x^45+158x^46+270x^47+148x^48+242x^49+102x^50+74x^51+18x^52+30x^53+8x^54+10x^55+7x^56+2x^57+3x^58+1x^60+2x^62+1x^64 The gray image is a code over GF(2) with n=184, k=11 and d=80. This code was found by Heurico 1.16 in 0.18 seconds.