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 1 1 1 1 1 1 X^2 1 0 X^2+2 0 X^2 0 0 X^2 X^2+2 0 0 X^2 X^2+2 0 0 X^2 X^2+2 0 0 X^2 X^2+2 0 0 X^2 X^2+2 0 2 X^2 X^2 2 X^2 2 X^2 X^2 0 2 X^2+2 0 X^2+2 2 X^2 2 0 X^2+2 X^2+2 2 X^2+2 X^2+2 0 2 2 X^2 X^2 X^2 0 X^2 2 2 X^2+2 X^2+2 0 X^2+2 X^2 0 0 2 X^2+2 2 X^2 2 2 X^2+2 X^2+2 X^2+2 X^2 X^2 2 X^2 X^2 2 2 0 2 0 0 0 2 0 X^2 X^2+2 X^2 X^2 2 X^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+2 X^2 0 0 X^2+2 X^2 0 0 X^2+2 X^2 0 2 X^2 0 X^2+2 2 0 X^2+2 X^2+2 2 2 X^2+2 X^2+2 2 X^2+2 X^2+2 2 0 X^2 2 X^2 X^2 2 X^2+2 2 X^2+2 0 2 X^2+2 X^2+2 X^2 2 0 X^2+2 X^2+2 X^2 0 2 2 X^2 2 X^2 2 2 2 2 X^2 2 X^2 X^2 X^2+2 X^2+2 X^2+2 2 0 2 2 X^2 2 2 X^2 X^2+2 0 0 0 X^2+2 X^2 X^2+2 2 X^2+2 0 0 0 2 0 0 2 0 0 0 2 0 0 0 2 0 2 2 0 2 2 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 2 0 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 0 0 0 2 0 0 0 2 0 0 0 2 2 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 2 2 0 2 0 2 2 0 0 0 0 2 0 2 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 2 2 2 0 2 0 0 2 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 2 0 0 2 0 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 0 0 0 2 generates a code of length 93 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+135x^88+424x^92+1024x^93+256x^94+151x^96+56x^100+1x^184 The gray image is a code over GF(2) with n=744, k=11 and d=352. This code was found by Heurico 1.16 in 1.23 seconds.