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

generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+74x^88+218x^89+329x^90+284x^91+403x^92+598x^93+529x^94+492x^95+369x^96+266x^97+183x^98+92x^99+107x^100+62x^101+29x^102+24x^103+14x^104+8x^105+8x^106+4x^107+1x^110+1x^158

The gray image is a code over GF(2) with n=752, k=12 and d=352.
This code was found by Heurico 1.16 in 1.42 seconds.