The generator matrix

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

generates a code of length 24 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+19x^20+136x^21+168x^22+600x^23+211x^24+600x^25+149x^26+136x^27+23x^28+2x^30+1x^32+1x^34+1x^40

The gray image is a code over GF(2) with n=192, k=11 and d=80.
This code was found by Heurico 1.16 in 0.015 seconds.