The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^94+316x^95+206x^96+496x^97+188x^98+176x^99+174x^100+128x^101+83x^102+132x^103+18x^104+32x^105+1x^110+2x^122+1x^136

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 1.25 seconds.