The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+46x^85+78x^86+92x^87+151x^88+122x^89+135x^90+200x^91+178x^92+188x^93+177x^94+160x^95+132x^96+86x^97+65x^98+46x^99+30x^100+38x^101+45x^102+18x^103+14x^104+12x^105+8x^106+10x^107+6x^108+4x^109+1x^110+2x^111+2x^114+1x^150

The gray image is a code over GF(2) with n=372, k=11 and d=170.
This code was found by Heurico 1.16 in 0.894 seconds.