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 1 1 1 1 1 0 X 1 1 0 X X 1 1 1 1 1 1 1 0 2 1 1 1 X 1 X 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 0 0 X+2 X X+2 X 2 2 X+2 X X+2 X X+2 0 0 X X+2 0 X+2 X+2 X 0 2 X X+2 X X X+2 X+2 X X+2 X 0 X X+2 X+2 2 X X X 0 2 2 X X X+2 2 2 0 X X+2 0 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 2 0 2 0 2 2 0 0 2 0 2 0 2 2 2 2 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 2 2 2 0 2 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 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 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 2 2 0 0 2 2 0 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 2 2 2 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 0 2 0 2 2 2 0 0 0 2 0 2 0 2 2 2 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 2 2 2 0 0 0 0 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 0 2 2 2 2 2 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 0 2 0 2 2 0 0 2 0 0 0 2 2 0 0 2 2 0 0 2 0 2 2 2 2 0 0 2 0 0 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 2 2 2 0 0 0 0 2 0 0 0 0 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 2 2 0 2 0 0 0 2 0 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 2 2 0 0 0 0 2 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 2 0 0 2 2 0 2 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 0 2 2 0 2 0 0 0 0 2 0 2 2 0 2 2 0 0 0 0 2 2 0 0 2 0 0 2 0 0 2 0 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 0 2 2 0 0 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 0 2 2 2 0 0 2 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 0 2 2 0 2 0 2 2 generates a code of length 77 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+83x^64+56x^66+293x^68+292x^70+823x^72+1042x^74+1589x^76+1456x^78+1168x^80+596x^82+432x^84+124x^86+124x^88+18x^90+63x^92+24x^96+6x^100+1x^104+1x^116 The gray image is a code over GF(2) with n=308, k=13 and d=128. This code was found by Heurico 1.16 in 8.38 seconds.