The generator matrix

 1  0  1  1 X^2  1  1  1 X^2+X  1  1  0 X+2  1  1  1  1 X^2  1  1  2  1  1  2  1  1  X  1  1 X^2+X+2  1 X+2  1  0  1  1  1 X^2+X  1  1 X^2+X  0  1 X+2  1  1  1  1  1  1  1  1  1  1  0  1  X X^2+2  1  1 X^2+X  1  1 X^2  1  1  1  1  1  1 X^2+X X^2+X+2  X  2 X^2  X  1  1  1  1  1  1  2 X^2+X+2  1  1 X+2 X+2  1  1  2 X^2  1  1
 0  1  1 X^2+X  1 X^2+X+1 X^2  3  1 X+1 X^2+X+2  1  1  0 X^2+3  2  3  1  X X+1  1 X^2+X X+3  1 X^2 X^2+1  1 X^2+X+3 X^2+2  1  1  1  X  1 X+2 X+1 X^2+2  1 X+2 X+2  1  1  3  1 X^2 X^2+X+3 X^2+3 X^2+X+3 X^2+X+3  3 X^2+X+1  3  2  X X^2+2  2 X^2+X  1  3  2  1 X^2+X+2 X+3  1  0 X^2 X^2+X+3 X^2+2  X X^2+2  1  1  1  1  X X+2  2 X^2+X+1 X^2+3 X+2 X^2+3 X^2+X  1  1  3 X^2+X+1  1  1  X X+3  1  1  1  0
 0  0  X  0 X+2  X X+2  2  0  2 X+2 X^2+X+2 X^2 X^2+2 X^2+2 X^2+X+2 X^2+X+2 X^2+X X^2 X^2+X X+2 X^2+X X^2 X^2 X^2 X^2+X  X X^2+2 X^2+X  2 X^2 X^2+X+2 X^2+X+2  2  2 X+2  0  X  X X^2+2 X^2 X^2+2 X^2+X X^2+X  X X^2+X  0  0 X+2  0  2  X  X X+2  X X^2 X^2+X  0 X^2+2 X+2 X+2  0 X^2+X X^2+X  0 X^2+X X^2+2  2  0 X^2  2 X^2+X+2 X^2  X X^2+2 X^2+X+2  2 X^2+X+2  0 X^2+2  2 X+2 X^2+2 X^2+2 X+2  0 X^2+2 X+2 X^2+X+2 X^2+X+2 X^2+X+2 X^2 X^2  0
 0  0  0  2  0  2  2  2  2  0  0  2  2  0  2  2  0  0  2  2  2  0  0  0  2  2  0  2  0  0  0  2  2  2  0  2  2  2  2  0  0  2  2  0  0  0  2  0  0  0  2  2  2  0  2  2  0  0  2  0  0  0  0  2  2  2  0  0  0  0  2  2  0  0  2  2  2  0  0  2  0  2  0  2  0  2  0  0  0  2  0  2  2  0

generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+98x^89+419x^90+524x^91+500x^92+444x^93+469x^94+412x^95+354x^96+274x^97+190x^98+196x^99+136x^100+24x^101+18x^102+8x^103+8x^104+6x^106+4x^107+8x^108+1x^118+1x^120+1x^122

The gray image is a code over GF(2) with n=752, k=12 and d=356.
This code was found by Heurico 1.16 in 1.27 seconds.