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 1 0 1 X X 1 1 1 1 1 1 1 X 1 0 1 1 1 1 1 1 1 2 1 1 1 1 X 1 0 1 1 1 1 1 2 X 2 X 1 2 X X 1 1 X 1 1 1 0 0 X 1 X 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 2 2 0 X X+2 0 0 X+2 X+2 2 X+2 X 2 2 X X 0 X+2 0 2 2 X X 2 X 0 2 0 X X+2 X+2 0 X 2 0 0 X+2 2 X X+2 2 X 2 X+2 X+2 X X+2 2 X X 0 2 2 X X X X X 0 X X+2 0 2 0 X+2 X X+2 2 X 0 2 X 0 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X+2 X 0 X 2 X+2 0 2 X 2 X 2 0 X X+2 2 X+2 0 X X X 0 X X X+2 0 X X+2 X X+2 X+2 X+2 X X 2 X+2 X 0 2 2 X+2 X+2 0 0 X+2 X 2 2 0 2 X X+2 X 0 X+2 X+2 X+2 X X 2 0 X X 0 X 2 0 X X+2 X X X+2 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 2 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 2 0 0 2 0 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 0 0 2 2 2 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 2 2 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 2 0 2 2 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 2 2 0 0 2 0 2 0 0 0 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+90x^78+189x^80+28x^81+299x^82+60x^83+374x^84+156x^85+428x^86+284x^87+447x^88+244x^89+410x^90+148x^91+332x^92+84x^93+177x^94+20x^95+138x^96+89x^98+36x^100+32x^102+14x^104+10x^106+2x^108+1x^110+2x^112+1x^136 The gray image is a code over GF(2) with n=352, k=12 and d=156. This code was found by Heurico 1.16 in 2.3 seconds.