The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 X+2 1 1 1 0 X+2 1 1 1 1 1 0 1 X+2 1 1 1 1 0 0 1 1 X 0 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 1 X+2 0 X+2 1 1 3 X+1 3 0 X+2 1 X+1 1 3 X+1 0 X+2 1 1 3 3 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 0 0 0 0 2 2 2 2 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 0 2 2 2 0 2 0 0 2 2 0 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 2 0 0 2 0 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 0 0 2 2 0 generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+36x^30+2x^31+97x^32+76x^33+208x^34+192x^35+627x^36+714x^37+1599x^38+1332x^39+2563x^40+1496x^41+2560x^42+1360x^43+1603x^44+708x^45+615x^46+186x^47+185x^48+76x^49+80x^50+41x^52+2x^53+21x^54+1x^56+1x^60+1x^62+1x^64 The gray image is a code over GF(2) with n=164, k=14 and d=60. This code was found by Heurico 1.16 in 7.05 seconds.