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

generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+60x^85+91x^86+166x^87+80x^88+116x^89+85x^90+158x^91+35x^92+56x^93+55x^94+42x^95+27x^96+20x^97+5x^98+16x^99+4x^101+1x^102+1x^108+2x^114+2x^115+1x^134

The gray image is a code over GF(2) with n=360, k=10 and d=170.
This code was found by Heurico 1.16 in 0.615 seconds.