The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+60x^85+68x^86+160x^87+129x^88+426x^89+157x^90+424x^91+135x^92+464x^93+109x^94+496x^95+123x^96+388x^97+128x^98+424x^99+83x^100+180x^101+40x^102+32x^103+28x^104+18x^105+1x^106+5x^108+3x^110+4x^112+2x^114+1x^116+2x^118+3x^120+2x^126

The gray image is a code over GF(2) with n=376, k=12 and d=170.
This code was found by Heurico 1.16 in 2.54 seconds.