The generator matrix

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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+92x^30+410x^31+808x^32+1440x^33+1855x^34+2842x^35+2981x^36+3854x^37+3823x^38+4288x^39+3137x^40+2884x^41+1871x^42+1250x^43+571x^44+358x^45+197x^46+74x^47+22x^48+8x^49+2x^50

The gray image is a code over GF(2) with n=152, k=15 and d=60.
This code was found by Heurico 1.13 in 7.84 seconds.