The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 2 1 1 2 1 1 1 1 X 1 1 X+2 0 1 1 X+2 X 1 1 X 0 1 2 1 1 1 X X 2 1 1 1 0 X 1 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 1 0 X+3 1 X+1 2 X X+2 1 1 3 1 1 3 X+2 1 1 X 2 1 1 3 1 X+2 1 1 2 1 1 2 X+3 1 1 2 0 0 0 X 0 X+2 0 X+2 0 X X+2 X+2 2 X+2 2 X 2 0 X X 0 X X+2 0 0 X 2 2 0 X X X+2 X+2 0 X+2 0 X+2 X+2 X+2 X 2 X X+2 0 X+2 X X 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 0 2 2 0 2 0 2 0 2 2 2 2 0 2 2 2 0 0 0 0 2 2 0 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 2 0 2 0 2 2 2 0 2 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 0 0 0 2 2 0 2 0 0 0 2 0 2 2 0 2 2 0 2 0 0 0 2 0 2 2 2 0 0 0 generates a code of length 47 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+23x^38+52x^39+161x^40+156x^41+510x^42+218x^43+965x^44+376x^45+1438x^46+472x^47+1451x^48+336x^49+936x^50+244x^51+442x^52+136x^53+143x^54+36x^55+39x^56+20x^57+18x^58+2x^59+9x^60+4x^62+4x^64 The gray image is a code over GF(2) with n=188, k=13 and d=76. This code was found by Heurico 1.16 in 2.43 seconds.