The generator matrix

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

generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+194x^90+712x^91+610x^92+668x^93+528x^94+388x^95+262x^96+172x^97+118x^98+140x^99+68x^100+120x^101+54x^102+40x^103+9x^104+9x^106+1x^108+1x^114+1x^116

The gray image is a code over GF(2) with n=752, k=12 and d=360.
This code was found by Heurico 1.16 in 0.578 seconds.