The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+66x^81+154x^82+288x^83+412x^84+556x^85+694x^86+798x^87+1074x^88+1174x^89+1206x^90+1258x^91+1288x^92+1318x^93+1205x^94+1084x^95+904x^96+810x^97+677x^98+436x^99+302x^100+234x^101+127x^102+76x^103+87x^104+52x^105+26x^106+24x^107+22x^108+12x^109+5x^110+2x^111+5x^112+2x^113+1x^114+2x^115+1x^118+1x^120

The gray image is a code over GF(2) with n=368, k=14 and d=162.
This code was found by Heurico 1.16 in 32.5 seconds.