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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X 1 1 X X 1 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 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 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 2 0 2 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 2 0 0 2 2 2 0 2 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 2 2 0 2 2 0 0 0 2 2 2 0 2 2 0 0 2 0 0 0 0 2 2 2 0 0 0 2 0 0 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 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 2 0 0 2 0 0 0 0 2 0 2 0 0 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 0 2 2 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 2 2 2 2 2 0 2 0 2 2 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 0 2 2 0 0 2 0 0 2 0 2 2 0 0 2 0 2 2 2 0 0 0 0 2 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 2 2 2 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 0 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 2 0 2 2 2 0 2 2 2 0 2 2 0 2 0 0 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 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 0 0 2 2 0 2 2 2 0 0 0 2 0 2 0 0 0 0 2 0 2 0 2 2 0 2 2 0 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 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 2 2 2 0 0 2 0 2 0 0 0 0 0 generates a code of length 57 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+114x^44+71x^46+191x^48+142x^50+32x^51+164x^52+192x^53+171x^54+480x^55+201x^56+4736x^57+152x^58+480x^59+146x^60+192x^61+201x^62+32x^63+136x^64+166x^66+56x^68+100x^70+15x^72+20x^74+1x^102 The gray image is a code over GF(2) with n=228, k=13 and d=88. This code was found by Heurico 1.16 in 5.94 seconds.