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 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 1 1 1 1 1 X 1 X 1 1 1 1 X 1 1 1 X 0 2X+2 0 2 0 0 2 2X+2 2X 2X 2X+2 2X+2 0 0 2 2 0 2X 2 2X+2 0 2X 2 2 2 2X 2 0 0 2X 2X+2 2 0 2X 2 2X+2 0 0 2 2 2X 2X 0 2X+2 2X+2 2X 2 2 2X+2 0 2X+2 2 0 2 2X 0 2X 2X 2X+2 2 2X+2 2X 2X 2 2X+2 2X 2X 2 0 2 2X+2 0 0 2X 2 0 2X+2 2 2 2X+2 2X+2 2X+2 2 0 0 2 2X+2 0 0 2X+2 2 0 2X+2 2 0 2 2X 2 0 2 0 2X+2 2X 2 2X 2 0 2X 2 2X+2 0 2X 2X+2 2 2X 0 2X+2 2 0 0 2 2 2X 0 2X+2 2X+2 0 2X+2 0 2 2 2X 0 2 2X 2X+2 2X 0 2X 2X 2 2 2X+2 0 0 2X+2 2 2X 2 2X+2 2X 2X+2 2X+2 2X 2X 2X 2 2 2X 2 2X 0 2X+2 2X 2X+2 2X 2X 2X+2 2X 2X+2 2 2X 2X+2 0 0 0 0 2X 0 0 2X 0 2X 2X 0 2X 2X 2X 0 2X 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 0 0 2X 0 2X 0 0 2X 0 2X 0 2X 0 2X 2X 0 0 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 0 0 0 2X 2X 0 0 0 0 2X 0 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 0 2X 2X 2X 2X 0 0 2X 2X 0 2X 0 2X 0 0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 0 2X 2X 2X 0 0 0 0 2X 2X 0 0 2X 2X 0 0 0 0 2X 2X 2X 0 0 0 0 0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X 2X 0 0 2X 0 2X 0 0 0 2X 2X 0 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 2X 0 2X 0 2X 0 0 2X 0 0 0 2X 2X 0 2X 0 2X 2X 2X 2X 2X 0 generates a code of length 87 over Z4[X]/(X^2+2) who�s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+42x^81+42x^82+54x^83+38x^84+144x^85+55x^86+1338x^87+41x^88+116x^89+46x^90+62x^91+13x^92+16x^93+16x^94+14x^95+2x^96+2x^97+4x^99+1x^102+1x^164 The gray image is a code over GF(2) with n=696, k=11 and d=324. This code was found by Heurico 1.16 in 0.922 seconds.