The generator matrix

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

generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+208x^89+714x^90+1162x^91+1061x^92+1114x^93+760x^94+824x^95+628x^96+558x^97+376x^98+232x^99+111x^100+182x^101+142x^102+48x^103+36x^104+18x^105+7x^106+6x^107+2x^108+1x^112+1x^114

The gray image is a code over GF(2) with n=752, k=13 and d=356.
This code was found by Heurico 1.16 in 1.48 seconds.