The generator matrix

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

generates a code of length 99 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+184x^90+1026x^91+2499x^92+3866x^93+6362x^94+8230x^95+10449x^96+11834x^97+13816x^98+14168x^99+14528x^100+12592x^101+10785x^102+7396x^103+5833x^104+3484x^105+1938x^106+1018x^107+510x^108+274x^109+111x^110+78x^111+34x^112+28x^113+18x^114+4x^115+1x^116+1x^120+2x^121+2x^122

The gray image is a code over GF(2) with n=792, k=17 and d=360.
This code was found by Heurico 1.16 in 258 seconds.