The generator matrix

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

generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+350x^91+327x^92+376x^93+184x^94+318x^95+163x^96+142x^97+69x^98+56x^99+20x^100+26x^101+2x^102+4x^105+4x^107+4x^109+1x^130+1x^132

The gray image is a code over GF(2) with n=752, k=11 and d=364.
This code was found by Heurico 1.16 in 2.33 seconds.