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  X  X  X  X  0  2  X  0  0  X  X  1  1  X  1
 0  X  0  0  0  X X+2  X  0  2  2  X X+2  2 X+2  2 X+2  0 X+2  2  X  2 X+2  X  0 X+2  X  X X+2  2  X  0  2 X+2  X X+2  0
 0  0  X  0  X  X X+2  0  0  0  X  X  X X+2  2 X+2  0  0  2  2  0  X X+2 X+2  0  2 X+2  2  0  X  0  X  2 X+2 X+2  X  0
 0  0  0  X  X  0 X+2  X  2  X  2  0  X  X X+2  2  0  X  X  0  0  2 X+2  2 X+2  0 X+2 X+2  0  2  2 X+2 X+2 X+2  2 X+2  0
 0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  2  2  2  0  0  0  2  0  0  2  2  0  0  0  0  0  0  2  0  0  0  0
 0  0  0  0  0  2  0  0  0  2  0  2  2  2  2  0  0  2  0  2  0  0  2  2  0  0  0  0  0  2  0  0  2  2  0  2  0
 0  0  0  0  0  0  2  0  2  0  0  2  2  2  2  0  0  2  2  0  2  2  0  2  0  0  2  2  0  2  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  2  0  0  2  0  0  0  2  0  0  0  0  2  2  2  2  2  0  0  2  2  2  2  0  2  2  0  2  2  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+68x^28+56x^29+165x^30+238x^31+349x^32+374x^33+603x^34+870x^35+846x^36+1038x^37+900x^38+858x^39+620x^40+386x^41+318x^42+194x^43+140x^44+66x^45+53x^46+16x^47+22x^48+7x^50+2x^52+2x^54

The gray image is a code over GF(2) with n=148, k=13 and d=56.
This code was found by Heurico 1.16 in 2.48 seconds.