The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+101x^88+204x^89+147x^90+136x^91+102x^92+62x^93+62x^94+28x^95+29x^96+32x^97+32x^98+24x^99+30x^100+14x^101+4x^102+4x^103+1x^104+8x^105+1x^106+1x^114+1x^122

The gray image is a code over GF(2) with n=368, k=10 and d=176.
This code was found by Heurico 1.11 in 0.485 seconds.