The generator matrix 1 0 0 1 1 1 X+2 1 X 1 1 X+2 1 2 1 1 0 0 1 1 1 1 2 0 X 1 0 0 1 1 X+2 X+2 0 1 1 1 1 0 1 0 0 1 X+3 1 X+2 1 X+3 2 1 3 0 X 3 1 1 X 2 X+1 X+2 1 1 0 1 1 0 X+1 X 1 1 X+2 0 X X 0 0 0 1 1 X+1 0 1 1 X+2 X+3 0 X+3 2 1 X+1 X+3 X 1 X X 2 3 3 0 1 1 0 1 X+3 X+3 0 X+3 1 X+2 2 0 0 0 0 0 X X X+2 X+2 X 2 X X+2 2 0 X+2 X+2 2 X 2 2 0 X 0 X X+2 0 0 0 0 2 0 0 2 2 X+2 2 X+2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 2 generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+40x^30+184x^31+287x^32+560x^33+748x^34+766x^35+1003x^36+1056x^37+987x^38+886x^39+699x^40+448x^41+247x^42+138x^43+49x^44+48x^45+25x^46+10x^47+9x^48+1x^50 The gray image is a code over GF(2) with n=148, k=13 and d=60. This code was found by Heurico 1.16 in 1.63 seconds.