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 X 2 X X 2 0 X 0 1 0 1 X 1 1 1 X 1 2 1 2 0 1 1 X 1 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X+2 0 2 0 X+2 X+2 0 X X 0 X+2 X 2 X X X X 0 0 2 2 X+2 X+2 0 X X X X 2 X 0 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 0 2 X X 0 X+2 2 X+2 X+2 X+2 0 X+2 X X 2 2 2 2 X+2 X+2 X+2 X 0 X+2 X 0 X X+2 0 0 X+2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 0 2 2 2 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 2 0 2 2 2 2 0 2 0 0 2 0 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 0 2 0 2 2 2 2 0 0 2 0 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 2 0 0 0 0 2 2 2 0 2 0 2 2 2 2 0 0 2 0 0 2 0 2 0 2 0 0 generates a code of length 47 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 37. Homogenous weight enumerator: w(x)=1x^0+28x^37+76x^38+142x^39+185x^40+250x^41+312x^42+448x^43+578x^44+768x^45+898x^46+832x^47+927x^48+712x^49+594x^50+532x^51+284x^52+256x^53+136x^54+82x^55+63x^56+30x^57+20x^58+12x^59+2x^60+4x^61+10x^62+8x^64+2x^66 The gray image is a code over GF(2) with n=188, k=13 and d=74. This code was found by Heurico 1.16 in 83.7 seconds.