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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 X 1 1 2 2 1 0 2X+2 0 2 0 0 2 2X+2 0 0 2 2X+2 0 2 2X+2 0 2X 2X+2 2X 2X+2 2X 2X+2 0 2X+2 2X 0 2X+2 2X+2 2X 2 2 0 0 2X+2 2X 2X+2 2 2X 2X+2 0 2 2 2X 0 2X+2 0 0 2X+2 2X 2 0 2 2 2X 2 2X 2X 2X+2 2X+2 2X+2 2X 0 2X+2 2X 2X 0 2X+2 2 0 2 0 2X+2 2 2X 0 2X 2X 2X 2 2 2X 2X 2X+2 2 2X+2 2 2X+2 2X 2X+2 2X 0 2X 0 2 0 0 0 0 2X+2 2 0 2X+2 2 0 2X+2 0 2 0 0 2 0 2X+2 2 2X 0 2X+2 2 2X 0 2 2 0 2 2X 2X 2X+2 0 2X+2 2X 2 2 2X 2X 2X+2 2X+2 2X 0 2X+2 2X+2 0 2 2 2X 0 2X 0 2 2X+2 2X 2 2 0 2X+2 2X+2 0 2 2 0 2X 0 0 2 2X 2X 2X+2 2X 2X 2X+2 2X+2 2X+2 2X+2 2X 2X 2X+2 0 2X+2 0 2X+2 2X+2 2 2X+2 2X+2 2X 2 0 2X+2 2X+2 2X+2 2 2 2X+2 2X 0 0 0 2X 0 0 2X 0 0 2X 0 2X 2X 0 2X 2X 2X 2X 2X 0 0 2X 2X 0 2X 0 2X 0 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 0 0 2X 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 0 0 0 2X 2X 2X 0 2X 0 0 0 0 2X 2X 0 0 0 2X 0 0 2X 2X 0 2X 2X 2X 0 2X 0 0 2X 0 0 0 0 2X 0 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 0 0 0 2X 2X 2X 2X 2X 0 0 2X 2X 2X 0 0 0 0 2X 2X 2X 0 2X 0 0 0 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 2X 2X 2X 0 0 0 0 2X 0 2X 0 0 0 2X 0 0 2X 0 0 0 2X 2X 0 2X 2X 2X 0 0 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X 0 0 0 0 0 2X 0 2X 2X 2X 0 2X 2X 2X 0 2X 2X 2X 0 0 2X 0 0 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 0 0 0 2X 0 0 2X 0 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 generates a code of length 96 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+28x^90+46x^91+51x^92+72x^93+162x^94+396x^95+554x^96+402x^97+164x^98+62x^99+25x^100+36x^101+21x^102+8x^103+9x^104+2x^105+8x^106+1x^182 The gray image is a code over GF(2) with n=768, k=11 and d=360. This code was found by Heurico 1.16 in 1.25 seconds.