The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+42x^88+102x^89+158x^90+72x^91+130x^92+192x^93+40x^94+48x^95+49x^96+88x^97+54x^98+8x^99+14x^100+18x^104+2x^106+1x^114+2x^120+2x^121+1x^146

The gray image is a code over GF(2) with n=372, k=10 and d=176.
This code was found by Heurico 1.16 in 0.693 seconds.