The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+10x^89+50x^90+112x^91+154x^92+132x^93+44x^94+4x^96+2x^97+1x^118+1x^120+1x^126

The gray image is a code over GF(2) with n=368, k=9 and d=178.
This code was found by Heurico 1.16 in 0.603 seconds.