The generator matrix

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

generates a code of length 90 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+198x^83+1011x^84+1652x^85+2293x^86+2824x^87+3451x^88+3524x^89+3943x^90+3424x^91+3014x^92+2250x^93+1980x^94+1474x^95+820x^96+402x^97+282x^98+82x^99+66x^100+18x^101+27x^102+10x^103+4x^104+10x^105+3x^106+4x^107+1x^108

The gray image is a code over GF(2) with n=720, k=15 and d=332.
This code was found by Heurico 1.16 in 16.1 seconds.