The generator matrix

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

generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+96x^84+876x^85+2059x^86+4364x^87+6962x^88+11498x^89+15137x^90+20488x^91+24634x^92+30744x^93+28901x^94+29528x^95+25364x^96+21678x^97+15308x^98+10908x^99+6164x^100+3754x^101+1832x^102+1028x^103+411x^104+250x^105+79x^106+28x^107+8x^108+14x^109+10x^110+8x^111+8x^112+2x^113+2x^114

The gray image is a code over GF(2) with n=752, k=18 and d=336.
This code was found by Heurico 1.16 in 823 seconds.