The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 X+2 1 1 0 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 1 1 1 1 X 1 0 1 1 1 X 0 1 X+2 1 2 1 1 1 1 X+2 1 0 X+2 1 1 1 1 1 2 1 1 2 0 1 1 0 X 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 3 1 3 1 0 X+2 X+1 1 X+2 X+1 1 0 2 1 X+2 3 X+2 X+3 X 0 1 3 1 X+3 0 X+2 1 1 X+1 1 1 1 2 X+1 X+1 2 1 0 1 1 0 X+1 3 X X 1 X+2 X 1 1 X+3 X+3 1 X 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 2 0 0 0 2 2 2 0 0 0 0 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 2 2 2 2 0 0 0 0 2 0 0 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 2 0 0 2 0 0 2 2 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 0 2 2 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 2 2 0 0 2 2 0 0 0 2 2 0 0 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 0 2 2 2 2 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 2 0 2 2 2 0 0 2 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 2 2 2 2 0 2 2 2 0 0 2 2 0 0 0 0 2 0 2 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 0 2 0 2 2 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 0 2 2 0 2 2 0 2 0 0 2 0 0 0 0 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+138x^64+44x^65+208x^66+172x^67+360x^68+236x^69+362x^70+332x^71+464x^72+292x^73+370x^74+228x^75+335x^76+196x^77+190x^78+36x^79+78x^80+22x^82+13x^84+10x^88+3x^92+5x^96+1x^100 The gray image is a code over GF(2) with n=288, k=12 and d=128. This code was found by Heurico 1.16 in 1.21 seconds.