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

generates a code of length 95 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+50x^82+105x^84+116x^86+149x^88+181x^90+489x^92+1021x^94+983x^96+464x^98+170x^100+124x^102+71x^104+39x^106+41x^108+29x^110+26x^112+16x^114+11x^116+6x^118+1x^120+2x^122+1x^152

The gray image is a code over GF(2) with n=380, k=12 and d=164.
This code was found by Heurico 1.16 in 93 seconds.