The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+282x^85+184x^86+632x^87+227x^88+622x^89+213x^90+506x^91+118x^92+346x^93+69x^94+230x^95+81x^96+166x^97+63x^98+150x^99+32x^100+64x^101+15x^102+34x^103+19x^104+20x^105+16x^107+2x^108+4x^109

The gray image is a code over GF(2) with n=364, k=12 and d=170.
This code was found by Heurico 1.16 in 49.7 seconds.