The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X+2 1 1 1 1 0 1 1 X+2 1 1 1 0 1 X+2 1 1 1 2 1 X 1 1 1 1 1 1 X 1 1 1 X+2 1 X 1 1 1 X X 0 1 0 1 X+1 X+2 1 1 0 X+1 1 3 1 X+2 X+2 0 X+1 1 0 3 1 X+2 X X+1 1 3 1 0 2 X+3 1 3 1 X+2 0 2 X+2 X+2 X 2 2 0 X+1 1 X+3 1 X X X 2 X+2 X 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 0 0 2 2 0 2 2 0 2 2 2 0 2 2 0 0 2 0 0 0 2 2 2 0 2 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 2 2 2 0 0 2 2 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 0 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 2 2 0 2 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 2 2 0 0 2 0 0 0 2 0 2 2 generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+29x^46+162x^47+54x^48+136x^49+57x^50+202x^51+49x^52+112x^53+29x^54+134x^55+19x^56+8x^57+11x^58+14x^59+3x^60+1x^64+2x^70+1x^80 The gray image is a code over GF(2) with n=204, k=10 and d=92. This code was found by Heurico 1.16 in 0.0893 seconds.