The generator matrix

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

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+166x^89+132x^90+138x^91+108x^92+156x^93+61x^94+36x^95+16x^96+54x^97+34x^98+46x^99+16x^100+40x^101+8x^102+1x^104+4x^106+4x^107+2x^108+1x^134

The gray image is a code over GF(2) with n=372, k=10 and d=178.
This code was found by Heurico 1.16 in 0.521 seconds.