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

generates a code of length 89 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+136x^85+130x^86+182x^87+121x^88+126x^89+41x^90+72x^91+36x^92+52x^93+24x^94+38x^95+8x^96+22x^97+12x^98+4x^99+8x^102+8x^103+1x^104+1x^112+1x^114

The gray image is a code over GF(2) with n=356, k=10 and d=170.
This code was found by Heurico 1.11 in 0.429 seconds.