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 X 0 1 1 1 1 1 1 1 1 X 1 0 1 1 1 1 1 X 0 1 0 1 1 X 1 X 1 X 0 2 1 0 0 X X X 2 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 X+2 0 X+2 2 X 0 X 2 X+2 X+2 X X+2 X 0 0 2 2 0 X+2 X+2 X 0 X+2 0 X+2 X+2 X+2 0 0 X+2 X X 0 X 2 X+2 X+2 X+2 X X X X 2 X+2 X+2 X+2 2 X X X X X X X+2 X+2 X+2 2 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 2 2 2 0 0 2 2 0 0 0 0 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 2 0 2 0 0 2 0 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 2 0 0 0 2 0 0 2 0 0 0 2 2 0 0 2 0 2 2 2 0 0 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 2 0 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 2 2 2 0 0 0 2 2 0 2 0 2 0 0 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 0 2 0 0 2 0 2 0 2 2 0 2 0 0 0 2 2 0 2 2 2 2 0 0 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 0 2 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 0 2 0 0 2 0 0 0 0 0 2 2 2 0 2 0 2 2 2 0 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 2 2 0 2 2 2 2 2 0 0 2 0 2 2 2 2 0 0 0 0 2 0 2 2 0 0 2 0 2 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 0 2 0 generates a code of length 72 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+114x^64+138x^66+16x^67+239x^68+64x^69+258x^70+112x^71+248x^72+128x^73+142x^74+112x^75+178x^76+64x^77+86x^78+16x^79+93x^80+16x^82+11x^84+8x^88+3x^92+1x^108 The gray image is a code over GF(2) with n=288, k=11 and d=128. This code was found by Heurico 1.16 in 0.635 seconds.