The generator matrix

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

generates a code of length 34 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+60x^25+436x^26+1128x^27+2475x^28+4320x^29+6823x^30+9860x^31+14581x^32+16032x^33+18801x^34+16804x^35+14789x^36+10114x^37+7003x^38+4048x^39+2147x^40+946x^41+471x^42+156x^43+52x^44+14x^45+2x^46+4x^47+3x^48+2x^49

The gray image is a code over GF(2) with n=136, k=17 and d=50.
This code was found by Heurico 1.13 in 89.9 seconds.