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 X 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X^2 1 1 0 X^2+2 0 X^2 0 0 X^2 X^2+2 0 0 X^2 X^2+2 0 X^2 0 X^2 2 X^2+2 2 X^2+2 0 X^2 2 X^2 0 X^2 2 X^2 0 X^2 2 X^2 2 X^2 2 X^2 X^2+2 0 X^2+2 0 X^2+2 X^2+2 0 2 2 X^2 2 X^2 0 X^2 X^2+2 0 X^2+2 X^2+2 0 2 0 2 X^2 X^2 2 2 X^2 X^2 X^2+2 X^2 X^2+2 0 0 X^2+2 2 2 X^2 X^2 0 0 X^2+2 X^2 2 0 X^2+2 X^2 0 X^2 2 2 X^2 X^2+2 X^2+2 X^2+2 2 X^2+2 2 2 0 0 X^2+2 X^2 0 X^2+2 X^2 0 X^2+2 0 X^2 0 0 X^2 X^2+2 2 X^2 2 0 X^2+2 0 X^2+2 X^2+2 2 0 X^2+2 X^2 0 2 X^2 X^2+2 2 2 X^2+2 X^2+2 0 X^2 X^2 2 2 0 X^2 X^2 0 2 2 X^2 X^2 X^2 X^2 0 2 0 X^2+2 2 X^2+2 X^2 2 X^2+2 0 X^2 2 X^2 0 X^2 2 X^2 X^2+2 X^2 0 2 2 X^2+2 0 2 X^2+2 2 X^2+2 X^2 2 2 2 X^2 0 0 0 X^2 X^2+2 X^2 X^2+2 0 2 X^2 X^2 0 0 0 2 0 0 2 0 0 2 0 2 2 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 2 2 0 2 0 2 0 0 0 0 2 2 2 0 2 0 0 2 0 2 0 2 2 0 2 0 0 2 2 2 0 0 2 2 0 2 0 0 0 2 0 2 0 0 2 0 2 0 2 0 2 0 2 2 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 0 2 2 2 2 2 0 0 0 0 2 2 0 2 2 2 0 2 0 0 2 2 2 0 0 2 2 0 0 2 0 2 2 2 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 0 0 2 0 0 2 2 0 0 2 2 0 0 0 2 0 0 0 0 2 2 0 2 2 0 2 2 0 0 2 0 2 0 2 0 2 0 0 2 2 2 0 0 0 0 2 0 generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+24x^88+40x^89+40x^90+52x^91+86x^92+424x^93+759x^94+428x^95+55x^96+40x^97+15x^98+28x^99+22x^100+8x^101+16x^102+4x^103+4x^104+1x^106+1x^182 The gray image is a code over GF(2) with n=752, k=11 and d=352. This code was found by Heurico 1.16 in 1.17 seconds.