The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+61x^22+142x^23+305x^24+488x^25+769x^26+1170x^27+1780x^28+2358x^29+2372x^30+2118x^31+1748x^32+1374x^33+836x^34+390x^35+242x^36+130x^37+55x^38+20x^39+17x^40+2x^41+3x^42+2x^44+1x^48

The gray image is a code over GF(2) with n=120, k=14 and d=44.
This code was found by Heurico 1.16 in 4.52 seconds.