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 2 X 0 0 X 0 X 0 1 X X 2 1 0 1 X X X X 0 2 X X X 1 0 X 0 0 0 0 0 0 0 X X+2 X X X+2 X 2 X 2 X+2 2 0 2 0 X X+2 X 2 X+2 0 X X X 2 X+2 0 0 X+2 2 0 X X+2 X 0 X+2 2 0 0 X X+2 2 X X X 2 X X+2 0 0 2 X X 2 X 0 0 0 X 0 0 0 X X+2 X 0 0 0 X X X+2 2 X X+2 2 X X+2 2 2 2 X 0 X+2 0 2 0 2 X X X X X X X 2 X 0 2 2 X X X X X+2 2 2 0 2 X+2 X+2 X 0 X+2 2 2 2 X+2 X+2 0 0 0 0 0 X 0 X X X+2 0 X X 2 0 2 X+2 X X+2 X+2 X+2 0 X X 2 0 X 0 2 X+2 2 X+2 2 X+2 X+2 0 X+2 0 X+2 X+2 2 0 2 2 X X+2 X+2 2 X+2 X 0 X+2 0 X X+2 0 0 0 2 0 0 X+2 X+2 0 X 0 0 0 0 0 X X 0 X+2 X 2 X+2 X+2 0 X+2 X 2 0 X 2 X 0 X X+2 X+2 X 2 2 X 0 2 2 X X 0 2 X 0 X 2 2 2 2 2 0 X+2 2 X+2 X X+2 2 X+2 2 2 0 2 X X+2 X+2 X 0 X X+2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 0 0 2 2 0 2 2 2 0 0 0 2 2 0 0 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 0 2 2 2 0 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 2 2 2 0 2 0 2 0 2 2 0 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 2 0 2 0 0 2 0 generates a code of length 64 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+64x^52+62x^53+187x^54+272x^55+368x^56+414x^57+553x^58+736x^59+834x^60+1178x^61+1361x^62+1538x^63+1519x^64+1356x^65+1280x^66+1158x^67+902x^68+712x^69+529x^70+426x^71+330x^72+220x^73+147x^74+82x^75+69x^76+24x^77+33x^78+12x^79+6x^80+2x^81+4x^82+2x^84+2x^86+1x^92 The gray image is a code over GF(2) with n=256, k=14 and d=104. This code was found by Heurico 1.16 in 19.8 seconds.