The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 X X X 1 X X 1 X 1 1 1
0 X 0 0 0 0 0 2 2 X X+2 X 2 X+2 X X 0 X 2 X 0 X X+2 X+2 X+2 X+2 0 2 0 2
0 0 X 0 0 2 X+2 X X X X X X+2 2 X 2 0 X+2 0 X+2 X 0 0 X X X+2 X 2 0 0
0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 X X+2 X+2 2 2 0 X X+2 2 X+2 X 0 X+2 X+2 X X+2 2 X
0 0 0 0 X X 2 X+2 X X+2 2 2 0 X X X 0 X+2 X X X+2 X+2 0 X 0 X X X+2 X+2 2
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+77x^24+4x^25+212x^26+104x^27+304x^28+136x^29+378x^30+176x^31+304x^32+84x^33+154x^34+8x^35+75x^36+22x^38+6x^40+2x^42+1x^44
The gray image is a code over GF(2) with n=120, k=11 and d=48.
This code was found by Heurico 1.16 in 0.115 seconds.