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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+60x^89+72x^90+32x^91+23x^92+24x^93+22x^94+8x^95+4x^96+2x^98+3x^100+4x^101+1x^104

The gray image is a code over GF(2) with n=364, k=8 and d=178.
This code was found by Heurico 1.16 in 0.995 seconds.