The generator matrix 1 0 0 1 1 1 X X+2 1 X+2 1 1 2 1 1 2 1 2 X X+2 1 0 1 1 1 1 X 0 X 1 1 X+2 1 2 1 1 0 0 X 1 2 1 1 1 X 1 1 1 1 1 0 1 1 1 0 1 0 0 1 3 1 1 X+1 2 0 0 1 X+1 X+2 1 X 1 2 X X+3 1 X 1 X X+1 1 1 1 X+3 X+2 1 X+3 1 X+3 3 2 1 X+2 3 0 0 X+2 X 1 3 X 1 1 2 1 X+2 3 2 0 0 1 1 1 0 3 0 2 1 X+2 X+3 X+3 3 X+3 X 2 3 1 1 3 1 1 0 2 X 1 X+2 X+2 X+1 X 2 X+2 X+3 X+2 1 1 X 1 0 1 1 2 3 X+1 1 1 X+2 0 X+2 3 X+2 3 2 0 0 0 X 0 2 0 0 2 2 2 2 0 0 2 0 0 2 X+2 X X X+2 X+2 X X X+2 X+2 X+2 2 X+2 X X+2 X 2 0 X+2 X X 2 X+2 0 X+2 X+2 0 0 0 2 X X+2 2 X 2 0 X+2 0 0 0 0 2 2 2 2 0 2 2 0 0 0 2 2 0 0 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 2 0 2 0 generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+99x^48+208x^49+502x^50+336x^51+513x^52+294x^53+462x^54+254x^55+443x^56+224x^57+334x^58+118x^59+119x^60+64x^61+74x^62+26x^63+5x^64+8x^65+4x^66+2x^67+4x^68+2x^69 The gray image is a code over GF(2) with n=216, k=12 and d=96. This code was found by Heurico 1.16 in 0.642 seconds.