The generator matrix

 1  0  0  1  1  1  0  1  1  2  0  X  1  1  1 X+2  X  X X+2  2  1  0  1 X+2  1  1 X+2  0  1  1  2  0  X  1  1  1  2  1
 0  1  0  1  X X+3  1  0 X+2  1  1  2  1 X+1  X  1  1  X  1  0  3  1 X+1  X  X X+1  1  1 X+3  1  1  X  1 X+1  3 X+1  2  0
 0  0  1  1  1  0 X+3  X X+3  X  1  1  1  0  X X+1 X+3  1 X+2  1  2  0 X+3  1 X+1 X+1 X+3  1  2  3  X  1  2  1 X+2 X+1  X  0
 0  0  0  X  0 X+2 X+2  X  X X+2  2 X+2  0  0  2  2 X+2  0 X+2  X  2 X+2 X+2  X X+2  X  2 X+2  X  0 X+2  0  2  X  X X+2 X+2  0
 0  0  0  0  2  0  0  2  0  2  2  2  2  2  2  2  0  2  0  0  2  2  2  2  0  2  2  0  2  0  2  0  2  2  0  0  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  2  2  0  0  0  2  0  2  0  2  0  0  2  2  2  2  0
 0  0  0  0  0  0  2  2  2  2  0  2  2  2  0  2  0  0  2  2  0  0  2  0  0  2  0  0  2  2  2  2  2  0  2  0  0  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+64x^30+234x^31+412x^32+652x^33+983x^34+1222x^35+1620x^36+1966x^37+2038x^38+1984x^39+1699x^40+1302x^41+910x^42+632x^43+340x^44+170x^45+88x^46+22x^47+23x^48+6x^49+11x^50+2x^51+2x^54+1x^56

The gray image is a code over GF(2) with n=152, k=14 and d=60.
This code was found by Heurico 1.16 in 5.9 seconds.