The generator matrix

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

generates a code of length 92 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+777x^84+2152x^85+3784x^86+6032x^87+8119x^88+10336x^89+12640x^90+14360x^91+15412x^92+14036x^93+12718x^94+10624x^95+8065x^96+5388x^97+3072x^98+1836x^99+859x^100+420x^101+232x^102+72x^103+83x^104+20x^105+16x^106+4x^107+12x^108+2x^110

The gray image is a code over GF(2) with n=736, k=17 and d=336.
This code was found by Heurico 1.16 in 235 seconds.