The generator matrix 1 0 0 1 1 1 X X+2 1 1 1 1 X+2 2 2 1 1 X 0 1 2 1 2 1 1 0 1 X+2 0 X 1 1 1 X+2 1 1 1 X+2 1 1 0 2 1 X+2 1 X 1 1 0 1 0 0 1 X+1 1 0 2 0 3 X+1 1 1 X 0 3 1 2 3 1 X+2 X X X 1 3 1 1 1 3 X+1 X+3 0 X+3 2 X 1 X+3 3 1 1 X+2 1 X+1 0 2 0 0 0 1 1 1 0 1 1 X+1 X+2 X+1 X 0 1 1 X 3 X 1 X+2 3 2 1 X+3 X+2 X+3 2 3 X 3 2 1 X+3 1 X X+2 X+3 X 1 3 X+1 0 X+1 0 X+3 0 X+2 0 0 0 0 X 0 2 2 0 X+2 2 0 2 2 0 0 X X X X+2 X+2 X X X+2 0 2 2 X+2 X+2 X X+2 2 X+2 0 0 X+2 0 2 X+2 0 X X+2 0 X X+2 X+2 X X 0 0 0 0 0 2 0 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 0 0 2 2 0 2 2 2 0 2 0 0 2 2 2 2 0 0 0 generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+96x^42+274x^43+320x^44+444x^45+394x^46+496x^47+314x^48+456x^49+267x^50+354x^51+212x^52+180x^53+122x^54+68x^55+47x^56+24x^57+15x^58+8x^59+2x^60+2x^62 The gray image is a code over GF(2) with n=192, k=12 and d=84. This code was found by Heurico 1.16 in 0.529 seconds.