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 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X X X X X 1 X 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 2 0 2 2 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 2 2 0 0 2 2 2 2 0 0 2 2 0 2 2 0 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 2 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 2 0 2 2 0 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 2 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 2 0 2 0 0 0 2 0 0 2 0 2 2 0 2 0 0 2 0 generates a code of length 47 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+33x^34+105x^36+152x^38+189x^40+286x^42+515x^44+768x^46+4096x^47+768x^48+532x^50+295x^52+184x^54+123x^56+74x^58+45x^60+16x^62+6x^64+3x^66+1x^80 The gray image is a code over GF(2) with n=188, k=13 and d=68. This code was found by Heurico 1.16 in 4.2 seconds.