The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  X  1  1  X  1
 0  2  0  0  0  0  0  0  0  0  2  2  0  0  0  2  0  0  0  0  2  2  2  2  2  2  0  2  2  0
 0  0  2  0  0  0  0  0  0  2  2  2  0  2  2  0  0  0  2  2  2  2  2  2  0  2  2  0  0  0
 0  0  0  2  0  0  0  0  0  2  0  2  2  2  0  2  0  2  2  0  0  0  0  0  2  2  0  2  0  2
 0  0  0  0  2  0  0  0  2  0  0  2  2  0  2  2  0  0  2  2  0  0  0  2  0  2  0  2  2  0
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  2  2  0  0  0  2  2  2  2  2  0  2  0
 0  0  0  0  0  0  2  0  2  2  2  0  0  0  2  2  2  0  0  2  0  0  2  0  2  0  0  2  0  2
 0  0  0  0  0  0  0  2  2  2  0  0  2  2  2  0  2  0  2  0  0  2  0  0  0  2  2  0  2  0

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+71x^24+32x^26+64x^28+704x^30+49x^32+32x^34+61x^36+7x^40+2x^44+1x^52

The gray image is a code over GF(2) with n=120, k=10 and d=48.
This code was found by Heurico 1.16 in 0.304 seconds.