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 1 1 1 1 X X 0 X 1 X 1 1 X X X 2 1 1 X 1 0 X X 0 X 0 0 0 0 0 0 0 X+2 X X X 0 X X+2 2 X X X+2 0 2 X+2 2 X+2 X 2 X+2 0 2 X+2 0 X X+2 2 0 2 2 0 2 0 X+2 2 2 X+2 2 0 0 X 0 0 0 X X+2 X 2 X X+2 0 X+2 0 X+2 X+2 2 0 X 2 X+2 X 0 X X X X 0 X 2 X+2 X+2 X 0 0 0 X+2 0 X 2 2 X 2 X+2 0 0 0 0 X 0 X X X 0 X+2 2 X X+2 X X+2 2 2 0 2 0 0 X X+2 0 2 0 X+2 X+2 X 0 2 0 X+2 X 0 2 0 2 X 2 X+2 2 X+2 X 2 X 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 2 0 X+2 2 X X X+2 2 2 2 X+2 0 X 0 X+2 2 0 X+2 X+2 X 0 X X X+2 X 0 0 X 0 2 X 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 0 2 2 2 0 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 0 2 2 0 0 2 0 2 2 0 2 2 0 0 0 0 2 0 2 2 0 0 2 0 0 2 2 0 0 0 generates a code of length 46 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 37. Homogenous weight enumerator: w(x)=1x^0+48x^37+144x^38+186x^39+265x^40+368x^41+430x^42+620x^43+729x^44+822x^45+952x^46+876x^47+754x^48+636x^49+469x^50+288x^51+196x^52+152x^53+104x^54+74x^55+35x^56+20x^57+12x^58+4x^59+3x^60+2x^61+1x^64+1x^66 The gray image is a code over GF(2) with n=184, k=13 and d=74. This code was found by Heurico 1.16 in 3.44 seconds.