The generator matrix

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

generates a code of length 97 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+246x^91+1006x^92+1072x^93+1852x^94+1802x^95+2202x^96+1494x^97+1852x^98+1150x^99+1293x^100+676x^101+672x^102+338x^103+300x^104+176x^105+100x^106+64x^107+46x^108+16x^109+12x^110+6x^112+6x^113+1x^116+1x^120

The gray image is a code over GF(2) with n=776, k=14 and d=364.
This code was found by Heurico 1.16 in 5.23 seconds.