The generator matrix

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

generates a code of length 99 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+318x^92+1014x^93+1768x^94+2206x^95+3195x^96+3132x^97+3736x^98+3478x^99+3321x^100+2780x^101+2752x^102+1750x^103+1261x^104+916x^105+487x^106+210x^107+196x^108+86x^109+73x^110+28x^111+25x^112+8x^113+14x^114+8x^115+3x^116+1x^118+1x^122

The gray image is a code over GF(2) with n=792, k=15 and d=368.
This code was found by Heurico 1.16 in 17.1 seconds.