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 X 0 1 1 1 1 X 0 X 0 X 1 1 0 1 1 1 X 0 1 1 1 X 1 1 1 0 1 X X 1 1 0 X 1 1 1 1 0 1 1 1 1 0 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 2 X+2 X 0 0 X+2 X 2 X+2 0 2 X+2 X X X+2 2 2 X+2 X X+2 X X+2 0 0 X X+2 2 X+2 X+2 X 0 0 X+2 X+2 X+2 X X X X+2 X+2 X X 2 X X+2 0 X 2 0 X 2 X+2 X X+2 X X X+2 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 2 2 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 0 2 2 2 0 0 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 2 0 2 2 0 0 2 0 0 0 2 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 0 0 0 2 2 2 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 2 2 2 0 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 2 0 2 0 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 2 0 2 0 0 0 2 2 0 0 2 2 2 0 2 0 2 0 2 0 0 2 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 0 2 0 0 0 2 0 0 0 2 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 2 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 2 0 0 2 2 0 2 0 0 2 0 0 0 2 0 2 0 2 2 2 2 0 2 0 0 2 0 0 2 2 2 2 0 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 2 0 0 2 2 2 2 0 0 0 2 0 0 2 2 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 0 2 2 0 2 0 0 0 2 0 0 2 0 2 2 2 0 0 0 2 2 2 2 0 generates a code of length 72 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+111x^60+68x^62+8x^63+388x^64+88x^65+260x^66+272x^67+529x^68+624x^69+440x^70+1056x^71+588x^72+1056x^73+440x^74+624x^75+471x^76+272x^77+260x^78+88x^79+322x^80+8x^81+68x^82+86x^84+44x^88+17x^92+1x^96+1x^100+1x^108 The gray image is a code over GF(2) with n=288, k=13 and d=120. This code was found by Heurico 1.16 in 7.24 seconds.