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 X 1 1 1 2 1 1 X 1 X 1 1 X 1 1 1 X 1 X 1 2 1 1 0 X 0 0 0 X X+2 X 0 2 X X+2 0 2 X X 0 2 X X 2 2 X+2 0 0 X+2 X+2 2 X X 0 0 X+2 X 2 X 2 X+2 0 X X 2 2 2 0 X 0 0 X 0 X X X 2 0 2 X+2 X+2 X X 2 2 0 X+2 0 X 0 X 0 2 X+2 2 X X 0 X+2 X+2 X+2 X+2 X+2 X+2 X+2 2 2 2 X 0 X+2 X X X X+2 0 0 0 X X 2 X+2 X+2 0 X+2 2 X+2 X 0 X 0 2 X+2 X+2 0 X 2 X X X+2 0 2 X+2 2 X 0 2 X+2 X+2 0 2 2 X+2 2 X+2 0 X 2 X+2 X+2 X 0 0 0 0 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 0 0 0 2 2 0 0 2 0 2 0 0 0 0 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 41. Homogenous weight enumerator: w(x)=1x^0+54x^41+75x^42+116x^43+115x^44+106x^45+161x^46+110x^47+99x^48+70x^49+29x^50+18x^51+18x^52+22x^53+7x^54+10x^55+4x^56+4x^57+2x^59+2x^60+1x^76 The gray image is a code over GF(2) with n=184, k=10 and d=82. This code was found by Heurico 1.16 in 36.1 seconds.