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

generates a code of length 39 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+32x^30+2x^31+59x^32+16x^33+70x^34+56x^35+63x^36+112x^37+42x^38+1164x^39+52x^40+112x^41+52x^42+56x^43+46x^44+16x^45+41x^46+2x^47+24x^48+14x^50+11x^52+4x^54+1x^62

The gray image is a code over GF(2) with n=156, k=11 and d=60.
This code was found by Heurico 1.16 in 0.226 seconds.