The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 2 X X X 2 X X 0 2 2 1 X 1 1 2 X 1 1 X X X X 1 0 X 0 0 0 0 0 0 0 X X+2 X X X+2 X 2 X X+2 2 X+2 X 2 0 0 X X X+2 X+2 2 X+2 0 X 2 0 0 2 0 0 X 2 0 X 2 X+2 0 0 0 0 0 X 0 0 0 X X+2 X 0 0 0 X X X+2 2 X 0 X+2 2 X X X X X 2 X+2 X X X X+2 2 2 X 2 2 0 X X+2 X+2 0 2 2 0 X+2 0 0 0 0 0 X 0 X X X+2 0 X X 2 0 2 X+2 X X+2 X+2 X+2 0 X 0 X X+2 2 2 0 X+2 2 X+2 X+2 2 X X X X+2 X+2 0 X+2 X+2 X X+2 X X+2 0 0 0 0 0 0 0 X X 0 X+2 X 2 X+2 X+2 0 X+2 X 2 0 0 2 2 X+2 2 0 2 0 X+2 X+2 2 X 2 X 2 X+2 X+2 X X+2 X X+2 X 0 X+2 X 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 0 2 0 2 2 2 0 0 2 0 2 0 2 2 0 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 2 2 0 0 0 2 0 0 2 0 0 2 0 2 2 0 2 2 2 0 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 0 2 0 2 0 0 2 2 0 generates a code of length 47 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+62x^36+62x^37+194x^38+268x^39+382x^40+516x^41+712x^42+874x^43+1229x^44+1484x^45+1480x^46+1814x^47+1556x^48+1430x^49+1284x^50+922x^51+698x^52+524x^53+350x^54+198x^55+138x^56+78x^57+68x^58+20x^59+26x^60+2x^61+8x^62+3x^64+1x^76 The gray image is a code over GF(2) with n=188, k=14 and d=72. This code was found by Heurico 1.16 in 12.4 seconds.