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

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+19x^26+32x^27+36x^28+192x^29+544x^30+128x^31+15x^32+12x^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.