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 X 0 1 1 X 0 1 1 1 X 1 0 1 1 1 1 1 0 1 1 X 1 1 X 0 1 0 1 1 1 1 X 2 1 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 2 0 0 X+2 X+2 X+2 X 2 X+2 X 2 0 X+2 X X+2 X X X+2 0 X 2 0 X+2 2 X X X+2 X+2 X+2 X X+2 X+2 X 0 X 0 X+2 X+2 0 X+2 X 2 X+2 X 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 0 0 2 2 2 0 2 0 0 2 0 2 0 0 2 2 0 2 2 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 0 2 0 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 0 2 2 0 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 2 2 0 0 0 0 2 0 0 0 2 2 2 0 2 2 0 2 0 2 0 0 2 2 2 0 2 2 0 0 2 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 0 0 0 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 0 2 2 0 2 2 2 0 0 2 0 2 2 0 0 2 0 2 2 2 2 2 0 0 0 0 2 0 2 0 0 0 2 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 0 0 2 2 2 0 2 0 0 0 2 2 0 2 2 2 0 0 2 2 0 2 2 2 0 2 2 0 0 2 0 0 2 0 0 0 2 0 0 generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+144x^52+108x^54+16x^55+365x^56+96x^57+328x^58+240x^59+637x^60+320x^61+544x^62+240x^63+410x^64+96x^65+248x^66+16x^67+172x^68+52x^70+33x^72+21x^76+6x^80+2x^84+1x^96 The gray image is a code over GF(2) with n=244, k=12 and d=104. This code was found by Heurico 1.16 in 1.43 seconds.