The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+295x^24+544x^25+932x^26+1232x^27+1942x^28+2028x^29+2410x^30+2160x^31+1898x^32+1192x^33+922x^34+480x^35+269x^36+44x^37+22x^38+10x^40+2x^42+1x^44

The gray image is a code over GF(2) with n=120, k=14 and d=48.
This code was found by Heurico 1.16 in 4.28 seconds.