The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+120x^89+173x^90+146x^91+169x^92+104x^93+46x^94+46x^95+32x^96+24x^97+39x^98+26x^99+40x^100+20x^101+5x^102+22x^103+4x^104+4x^105+1x^110+1x^120+1x^124

The gray image is a code over GF(2) with n=372, k=10 and d=178.
This code was found by Heurico 1.11 in 0.505 seconds.