The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+56x^93+158x^94+31x^96+8x^101+2x^110

The gray image is a code over GF(2) with n=752, k=8 and d=372.
This code was found by Heurico 1.16 in 1 seconds.