The generator matrix

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

generates a code of length 98 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+286x^94+100x^95+72x^96+200x^97+834x^98+112x^99+44x^100+56x^101+286x^102+44x^103+10x^104+1x^128+2x^130

The gray image is a code over GF(2) with n=784, k=11 and d=376.
This code was found by Heurico 1.16 in 0.812 seconds.