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 1 X 1 1 1 1 X 1 0 X^2+2 0 0 0 X^2 X^2+2 X^2 0 0 0 0 X^2 X^2+2 X^2 X^2+2 0 0 0 0 X^2 X^2 X^2+2 X^2+2 0 0 X^2 2 2 X^2+2 X^2 X^2 X^2 0 X^2+2 2 X^2 X^2 2 0 X^2+2 2 X^2 X^2+2 X^2+2 0 2 2 X^2 X^2+2 0 2 X^2 X^2 2 2 0 2 X^2+2 X^2+2 X^2+2 X^2+2 2 2 X^2+2 0 0 X^2 X^2 2 X^2 X^2+2 0 2 2 X^2+2 X^2+2 2 X^2+2 X^2 0 X^2 X^2+2 2 X^2+2 0 X^2+2 2 2 0 0 2 X^2 X^2+2 2 X^2 X^2+2 X^2 X^2 0 0 X^2+2 0 X^2 X^2 X^2+2 0 X^2 0 0 X^2+2 X^2 X^2+2 0 0 0 0 X^2 X^2+2 X^2 0 X^2+2 0 0 X^2 X^2 0 X^2 2 X^2+2 2 X^2 2 0 X^2 0 X^2+2 2 X^2+2 X^2 2 2 X^2 0 2 X^2+2 X^2+2 2 0 2 2 X^2+2 X^2+2 X^2+2 X^2+2 X^2+2 0 2 0 X^2 X^2 0 X^2 2 X^2+2 X^2 2 X^2 2 2 X^2 X^2 2 X^2 X^2+2 2 0 0 X^2+2 2 0 X^2 2 2 0 X^2 X^2 X^2+2 2 2 X^2 X^2 2 X^2+2 0 X^2 X^2 2 0 0 0 X^2+2 X^2 0 X^2+2 X^2 X^2 0 X^2+2 0 0 X^2+2 X^2 0 2 X^2 X^2+2 2 2 X^2+2 X^2 2 2 X^2+2 2 X^2 0 2 X^2 X^2 X^2+2 X^2 X^2 2 0 2 0 X^2 2 2 2 X^2+2 X^2 X^2+2 X^2+2 0 0 X^2+2 0 X^2 2 X^2 X^2 2 X^2+2 X^2 0 X^2+2 X^2 2 2 2 X^2 X^2 2 2 X^2 X^2+2 X^2+2 0 2 2 X^2+2 0 0 2 2 X^2+2 X^2 2 X^2 X^2 X^2+2 X^2 X^2+2 0 0 2 2 X^2+2 2 X^2+2 X^2 X^2+2 0 0 X^2 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 0 0 0 2 0 0 0 2 2 2 2 0 2 0 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 0 2 0 2 0 0 0 0 0 generates a code of length 99 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 94. Homogenous weight enumerator: w(x)=1x^0+54x^94+92x^95+45x^96+96x^97+29x^98+1420x^99+30x^100+96x^101+42x^102+84x^103+50x^104+2x^106+4x^107+2x^108+1x^194 The gray image is a code over GF(2) with n=792, k=11 and d=376. This code was found by Heurico 1.16 in 1.37 seconds.