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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+49x^28+35x^30+8x^31+77x^32+48x^33+52x^34+120x^35+51x^36+1184x^37+56x^38+120x^39+44x^40+48x^41+60x^42+8x^43+27x^44+36x^46+6x^48+16x^50+1x^52+1x^62

The gray image is a code over GF(2) with n=148, k=11 and d=56.
This code was found by Heurico 1.16 in 0.204 seconds.