The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 1 1 X+2 1 1 2 1 1 X 1 1 0 1 1 X+2 1 1 2 1 X 1 1 X 1 X 1 0 2 1 1 X+2 2 X X 1 0 X X+2 0 1 X+1 X+2 1 1 X+1 0 1 X+2 3 1 0 X+1 1 X+2 3 1 2 X+3 1 X 3 1 0 X+1 1 X+2 1 1 2 X+3 1 X 0 2 X+2 0 X+2 X+2 X+3 X 1 2 3 1 1 1 X+2 X+3 X X 1 0 0 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 2 0 0 0 0 2 0 2 0 0 2 2 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 0 2 0 2 2 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 0 2 0 2 0 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 0 2 0 0 2 2 0 2 2 0 2 0 0 0 0 2 2 0 generates a code of length 53 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+61x^50+96x^51+94x^52+128x^53+54x^54+22x^56+6x^58+32x^59+10x^60+2x^62+1x^64+4x^66+1x^82 The gray image is a code over GF(2) with n=212, k=9 and d=100. This code was found by Heurico 1.16 in 0.0776 seconds.