The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 2 1 1 X+2 0 1 1 X 1 1 1 2 1 1 X 1 1 1 X+2 1 0 1 0 X+2 1 X X 1 1 X 1 X X+2 0 1 1 0 1 1 X X+3 1 X+2 1 X+3 2 X+1 1 0 1 1 1 X 1 1 X+2 3 X 1 X+3 1 1 X+2 0 1 1 1 1 X+2 1 1 1 0 X 3 X+1 X+2 1 1 1 0 0 X 0 0 0 0 0 0 0 2 X+2 0 2 X 0 X+2 X X+2 X+2 2 X 2 0 X 0 2 X X X+2 2 X+2 X+2 2 X+2 2 0 X+2 X X 0 2 0 X+2 X X X 0 0 0 X 0 0 X 2 0 0 0 0 2 X 0 X X+2 0 2 2 X+2 2 X X+2 X+2 X 2 X+2 X 2 0 0 X X+2 0 2 X+2 X X X 0 X+2 X+2 2 2 2 0 0 0 0 0 X 0 0 X X+2 2 X+2 2 X+2 X+2 0 X+2 2 X X 2 0 0 X+2 X+2 X+2 0 X+2 X 2 X 0 X+2 0 0 X+2 X+2 2 X 2 0 X+2 X+2 2 X+2 0 X X 0 0 0 0 0 2 2 2 2 2 0 2 2 2 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 2 0 2 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+309x^40+92x^41+567x^42+260x^43+1076x^44+440x^45+1124x^46+444x^47+1244x^48+480x^49+1014x^50+252x^51+484x^52+72x^53+188x^54+4x^55+77x^56+4x^57+51x^58+8x^60+1x^64 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 41.1 seconds.