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

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+25x^92+200x^93+156x^94+290x^95+230x^96+402x^97+550x^98+572x^99+426x^100+424x^101+212x^102+212x^103+127x^104+126x^105+34x^106+52x^107+23x^108+12x^109+5x^110+10x^111+4x^113+2x^114+1x^166

The gray image is a code over GF(2) with n=792, k=12 and d=368.
This code was found by Heurico 1.16 in 2.17 seconds.