The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+46x^26+8x^27+88x^28+56x^29+656x^30+56x^31+51x^32+8x^33+30x^34+19x^36+4x^38+1x^52

The gray image is a code over GF(2) with n=240, k=10 and d=104.
This code was found by Heurico 1.16 in 0.016 seconds.