The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+208x^81+570x^82+972x^83+1323x^84+1420x^85+1740x^86+1902x^87+2404x^88+2228x^89+2623x^90+2460x^91+2461x^92+2412x^93+2177x^94+1828x^95+1745x^96+1320x^97+1102x^98+646x^99+486x^100+322x^101+147x^102+100x^103+88x^104+40x^105+23x^106+10x^107+4x^108+2x^109+2x^110+2x^111

The gray image is a code over GF(2) with n=364, k=15 and d=162.
This code was found by Heurico 1.13 in 23.5 seconds.