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  1  1  1  1 2X  1  1  1
 0  X 2X+2 X+2  0 X+2 2X+2 3X  0 X+2 2X+2 3X  0 X+2 2X+2 3X 2X 3X+2  2 3X  0 X+2 2X+2 X+2 3X+2 3X 2X  0 2X  0
 0  0 2X  0  0  0 2X 2X 2X  0  0 2X  0 2X 2X 2X 2X 2X 2X  0 2X  0  0 2X 2X  0  0  0 2X  0
 0  0  0 2X  0  0 2X 2X  0 2X 2X 2X 2X  0 2X  0  0  0  0 2X 2X  0  0 2X 2X  0  0 2X 2X  0
 0  0  0  0 2X 2X  0  0 2X 2X 2X 2X  0 2X 2X  0  0  0 2X 2X  0  0  0 2X  0 2X  0 2X 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+23x^26+40x^27+24x^28+464x^29+36x^30+328x^31+27x^32+32x^33+4x^34+32x^35+12x^36+1x^58

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 0.031 seconds.