The generator matrix 1 0 1 1 1 2 1 0 1 0 1 1 1 1 1 1 2 X+2 1 1 X 1 1 0 1 1 1 X 1 1 1 0 1 1 2 1 0 0 1 1 0 1 1 2 1 X+1 1 0 X+1 X+2 X X+3 3 1 1 2 X+1 1 X+1 X+2 1 1 3 2 1 X+2 1 3 1 0 X+3 X X+2 1 0 0 X 0 0 0 0 0 2 0 2 X+2 X X+2 X+2 2 X+2 X+2 X+2 X X 2 X X X 2 X+2 X+2 X X X 2 X+2 X X+2 2 X+2 0 0 0 X 0 0 2 X+2 2 X+2 X+2 0 2 X X+2 X X 0 X+2 X 0 X 0 0 2 X 0 2 0 X+2 X 2 X 0 2 X+2 X 0 0 0 0 X X+2 X+2 X 2 2 X+2 X+2 X+2 0 X+2 X X+2 X X 0 2 2 2 X+2 X X+2 0 X+2 X+2 X+2 2 2 X+2 2 X+2 X 0 generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 31. Homogenous weight enumerator: w(x)=1x^0+62x^31+213x^32+222x^33+424x^34+336x^35+717x^36+326x^37+563x^38+336x^39+449x^40+170x^41+115x^42+56x^43+55x^44+18x^45+17x^46+10x^47+5x^48+1x^50 The gray image is a code over GF(2) with n=148, k=12 and d=62. This code was found by Heurico 1.16 in 0.713 seconds.