The generator matrix 1 0 0 1 1 1 X 1 1 2 1 1 X+2 0 2 1 1 X 1 1 1 X+2 X 2 1 1 2 1 1 1 0 2 1 1 0 X+2 1 1 1 1 X+2 0 1 1 1 1 1 0 1 0 0 1 X+3 1 X X+3 1 X 3 1 1 X+2 X+2 X 1 X+1 3 0 0 X 1 2 1 1 0 X+3 X+2 2 1 0 X+3 1 1 X+3 3 1 X+1 X X 1 1 2 X+2 2 0 0 1 X+1 X+3 X+2 1 X 3 3 1 0 X+3 X+2 1 0 X+3 2 X+3 X 0 1 1 X+3 1 1 X 3 X 2 1 X+1 X+3 2 2 X+2 2 X+3 1 X+1 1 1 X+2 X+3 X X X 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 0 2 2 0 0 2 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 0 2 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 0 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 2 0 2 2 0 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 2 0 0 0 0 2 0 generates a code of length 47 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+73x^40+194x^41+526x^42+586x^43+855x^44+666x^45+840x^46+712x^47+957x^48+750x^49+810x^50+442x^51+388x^52+174x^53+110x^54+46x^55+25x^56+8x^57+16x^58+4x^59+5x^60+2x^62+2x^63 The gray image is a code over GF(2) with n=188, k=13 and d=80. This code was found by Heurico 1.16 in 2.05 seconds.