The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+70x^23+270x^24+470x^25+963x^26+1136x^27+1956x^28+1920x^29+2855x^30+1822x^31+1993x^32+1270x^33+877x^34+420x^35+256x^36+52x^37+40x^38+8x^39+4x^40+1x^54

The gray image is a code over GF(2) with n=120, k=14 and d=46.
This code was found by Heurico 1.16 in 4.31 seconds.