The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 X+2 1 1 1 0 1 1 1 1 0 X+2 0 1 1 X+2 X+2 1 1 0 1 0 1 1 1 X+2 0 1 1 1 1 1 1 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 X+2 1 X+1 0 3 1 0 X+1 X+2 3 1 1 1 X+1 X+2 1 1 3 0 1 3 1 0 X+1 X+1 1 1 X+2 X+3 0 X+2 X+1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 2 2 0 0 2 2 2 0 2 0 2 0 2 2 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 0 2 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 0 2 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 2 0 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 0 2 2 2 2 0 0 0 2 0 0 2 2 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+100x^36+8x^37+46x^38+32x^39+424x^40+200x^41+688x^42+704x^43+1629x^44+1328x^45+2196x^46+1600x^47+2392x^48+1328x^49+1432x^50+704x^51+867x^52+200x^53+238x^54+32x^55+160x^56+8x^57+8x^58+43x^60+15x^64+1x^68 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 9.02 seconds.