The generator matrix 1 0 0 0 0 1 1 1 X X 1 1 0 0 1 1 X+2 1 1 X 1 1 X 1 X 2 0 1 1 1 1 2 1 2 X 1 0 1 1 2 1 1 1 1 2 1 0 1 0 0 0 0 2 2 0 0 2 0 2 2 2 0 1 X+3 1 1 1 3 1 X+1 1 1 X+2 X X+1 X+2 X+3 X X+3 1 X X+3 1 X X+2 X X X+3 1 X+1 X+2 0 0 0 1 0 0 0 3 1 1 2 0 X+1 1 1 X+1 X+2 X+2 X+1 X X+3 0 3 X+3 2 X X X+2 X+2 X+3 X+1 0 2 1 X+1 1 X+1 3 3 1 2 1 3 2 X+3 X+2 2 0 0 0 1 0 1 1 0 X+1 1 X+1 X 3 X+2 X+1 0 X+3 2 X+2 3 X+3 X+1 2 X+3 3 X X+2 0 X+2 2 X+3 1 2 1 1 X X X X+1 1 X 3 0 X+1 X 2 0 0 0 0 1 1 2 X+1 1 3 X+2 2 X+2 X+3 X+3 X+1 X 3 3 3 X 0 X+1 3 1 1 1 2 2 X+2 0 3 X 2 X+2 3 X+2 X+1 X+1 X 1 3 1 0 1 2 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 0 2 2 0 2 0 2 2 0 2 2 2 0 0 0 2 2 0 2 0 0 0 0 2 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+92x^37+628x^38+944x^39+2051x^40+2436x^41+4312x^42+5028x^43+6501x^44+6628x^45+7520x^46+7148x^47+7091x^48+5100x^49+4332x^50+2460x^51+1697x^52+704x^53+516x^54+164x^55+119x^56+16x^57+36x^58+9x^60+2x^64+1x^68 The gray image is a code over GF(2) with n=184, k=16 and d=74. This code was found by Heurico 1.13 in 38.6 seconds.