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 1 1 1 1 X X 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 0 X^2 X^2+2 0 2 X^2 X^2 2 X^2+2 2 X^2+2 X^2+2 X^2 0 2 2 X^2+2 X^2+2 2 X^2 0 2 X^2+2 X^2+2 2 X^2+2 0 2 X^2 0 X^2 2 X^2+2 2 X^2 2 X^2+2 2 X^2 X^2+2 X^2+2 2 X^2+2 2 0 X^2 2 0 2 X^2+2 2 X^2+2 X^2+2 X^2 2 X^2+2 0 X^2 0 X^2 X^2 X^2+2 X^2 X^2 2 0 0 2 0 2 X^2+2 2 0 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 0 X^2+2 X^2 0 2 X^2 0 X^2+2 2 X^2 X^2+2 2 X^2+2 2 X^2 0 X^2 2 X^2 2 0 X^2 0 X^2+2 2 X^2 X^2 2 X^2 0 2 X^2+2 X^2+2 X^2 2 X^2+2 2 2 X^2+2 2 X^2+2 2 X^2 X^2 0 X^2 2 0 X^2 0 X^2+2 2 X^2 2 0 X^2+2 X^2 X^2 X^2+2 X^2 X^2+2 0 2 0 0 X^2+2 X^2 2 2 2 2 X^2+2 X^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 0 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 2 2 0 0 0 0 0 2 2 0 0 0 2 0 2 2 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 2 2 0 2 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 2 0 0 0 0 2 0 2 0 2 2 2 0 0 0 2 2 0 2 0 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 0 0 2 2 0 0 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 2 0 0 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 2 0 0 generates a code of length 98 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 94. Homogenous weight enumerator: w(x)=1x^0+192x^94+126x^96+1408x^98+128x^100+192x^102+1x^192 The gray image is a code over GF(2) with n=784, k=11 and d=376. This code was found by Heurico 1.16 in 7.53 seconds.