The generator matrix

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

generates a code of length 97 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+269x^90+1082x^91+1694x^92+2574x^93+2619x^94+3402x^95+3498x^96+3742x^97+2959x^98+3264x^99+2388x^100+2074x^101+1265x^102+866x^103+433x^104+292x^105+163x^106+86x^107+49x^108+12x^109+16x^110+10x^113+4x^114+4x^115+1x^116+1x^122

The gray image is a code over GF(2) with n=776, k=15 and d=360.
This code was found by Heurico 1.16 in 17.5 seconds.