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 X 0 X 0 X 1 1 1 0 1 1 1 X 0 1 1 1 1 X 0 1 X 1 0 1 1 0 1 1 1 1 1 1 X 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 0 X+2 X 2 X+2 X+2 0 2 2 X X+2 X X+2 X X+2 0 X+2 X X X+2 0 X X+2 X X+2 X 0 X X+2 X X X+2 0 X 0 2 X 2 0 0 0 0 2 X+2 X+2 X+2 2 X+2 2 0 X+2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 2 0 0 2 0 2 0 2 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 0 2 2 0 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 0 0 2 2 2 2 2 2 0 2 2 0 0 0 2 2 0 0 0 2 0 0 0 2 2 0 2 2 2 2 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 2 0 0 0 2 2 2 2 2 0 2 2 2 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 0 2 0 0 0 2 2 2 2 2 2 0 2 2 2 2 0 2 2 0 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 0 2 0 0 0 2 2 2 0 0 0 0 0 2 2 0 2 2 2 0 2 2 2 2 2 2 0 2 2 2 0 0 2 0 2 0 0 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 2 0 0 0 0 2 0 0 2 2 0 2 0 0 0 2 0 0 2 2 0 2 2 2 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 0 2 0 2 2 2 0 2 2 0 0 0 2 2 2 0 2 0 0 2 0 2 0 2 2 0 0 2 2 0 2 2 0 2 0 2 2 0 2 2 2 2 0 0 0 2 0 generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+59x^54+156x^56+8x^57+242x^58+24x^59+409x^60+144x^61+726x^62+368x^63+984x^64+480x^65+1073x^66+480x^67+968x^68+368x^69+670x^70+144x^71+413x^72+24x^73+217x^74+8x^75+103x^76+62x^78+27x^80+19x^82+7x^84+3x^86+3x^88+1x^90+1x^100 The gray image is a code over GF(2) with n=264, k=13 and d=108. This code was found by Heurico 1.16 in 6.88 seconds.