The generator matrix

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

generates a code of length 34 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+60x^30+136x^31+158x^32+148x^33+130x^34+128x^35+85x^36+64x^37+32x^38+16x^39+41x^40+12x^41+2x^42+8x^43+3x^44

The gray image is a code over GF(2) with n=136, k=10 and d=60.
This code was found by Heurico 1.16 in 0.0312 seconds.