The generator matrix 1 0 0 1 1 1 0 1 1 1 2 X+2 1 X+2 2 1 X 1 1 X+2 1 X X 1 1 1 X+2 1 X X 0 1 1 0 1 X+2 1 X 1 1 1 1 0 1 0 1 1 1 1 2 1 0 1 0 0 1 1 1 2 X+3 X 1 1 X+1 0 1 X+2 1 X 1 X X+1 2 1 X 1 3 1 1 1 1 0 X+3 2 1 2 1 0 1 X+2 2 X+1 X X+2 0 1 X+3 3 3 X+2 1 X 0 0 1 X+1 X+3 0 X+1 X X+2 3 1 X+3 1 1 X+2 0 X+2 X+3 1 1 0 1 X+2 X X+3 X+2 X+1 2 1 2 1 X+1 X+3 X 1 3 0 X+3 3 3 3 X+1 1 X+2 0 X+1 2 0 1 X+3 X+2 0 0 0 2 0 0 0 2 2 0 0 2 2 2 2 0 2 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 0 2 2 2 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 0 2 2 2 2 0 0 2 0 0 0 2 2 2 2 0 2 2 2 0 2 0 0 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 2 0 2 2 2 0 0 2 0 2 2 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 0 0 2 2 2 2 0 2 0 0 generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+112x^45+237x^46+324x^47+403x^48+456x^49+486x^50+396x^51+384x^52+324x^53+230x^54+272x^55+186x^56+112x^57+96x^58+28x^59+16x^60+20x^61+5x^62+4x^63+2x^64+2x^66 The gray image is a code over GF(2) with n=204, k=12 and d=90. This code was found by Heurico 1.16 in 0.562 seconds.