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  X  X  X  X  X  X  X  X  X  X  X  X  1  1  1  1  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  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  X  1  X  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  2  2 X^2+2 X^2  2  2 X^2+2 X^2  2  2 X^2+2 X^2  2  2 X^2+2 X^2  2  0 X^2+2 X^2 X^2 X^2 X^2+2 X^2  2  0 X^2 X^2  0  0  2  2  2  2  0  0 X^2+2 X^2+2  0 X^2+2 X^2  2  0 X^2+2 X^2+2 X^2+2 X^2  2  0  2  2  2  0  0 X^2 X^2+2 X^2 X^2+2 X^2+2 X^2 X^2+2 X^2  0  2  2  2  0  0 X^2 X^2 X^2+2 X^2+2  0 X^2+2  0 X^2+2  2 X^2
 0  0 X^2+2 X^2  0 X^2+2 X^2  0  2 X^2 X^2+2  2  2 X^2 X^2+2  2  2 X^2 X^2+2  2  2 X^2 X^2+2  2  0 X^2+2 X^2  0  0 X^2+2 X^2  0 X^2 X^2+2  0  2 X^2 X^2+2  0  2 X^2 X^2+2 X^2 X^2+2  0  0 X^2 X^2  2  0  0  2 X^2+2 X^2 X^2  2  0 X^2+2 X^2 X^2+2 X^2  2  0 X^2+2  2  2  0 X^2+2 X^2+2 X^2 X^2 X^2+2 X^2+2 X^2  0  2  2  0  2  2  0 X^2+2 X^2+2 X^2 X^2 X^2+2 X^2+2 X^2  0  0  2  2  2  2
 0  0  0  2  2  2  0  2  2  2  2  2  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  0  0  2  0  2  2  2  2  2  0  0  2  0  0  2  0  2  2  2  2  0  2  2  2  2  2  2  0  0  0  0  2  2  2  2  0  0  0  0  0  0  2  2  2  2  0  0  0  0  0  0

generates a code of length 94 over Z4[X]/(X^3+2,2X) who�s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+62x^93+415x^94+31x^96+2x^125+1x^126

The gray image is a code over GF(2) with n=752, k=9 and d=372.
This code was found by Heurico 1.16 in 0.984 seconds.