The generator matrix

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

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+330x^85+286x^86+396x^87+301x^88+522x^89+334x^90+410x^91+184x^92+342x^93+153x^94+192x^95+86x^96+160x^97+90x^98+74x^99+59x^100+52x^101+28x^102+44x^103+4x^104+34x^105+4x^106+5x^108+1x^110+4x^111

The gray image is a code over GF(2) with n=364, k=12 and d=170.
This code was found by Heurico 1.11 in 149 seconds.