The generator matrix

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

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+51x^28+118x^29+236x^30+324x^31+648x^32+898x^33+1192x^34+1596x^35+2037x^36+2220x^37+1812x^38+1740x^39+1374x^40+908x^41+537x^42+292x^43+221x^44+78x^45+56x^46+16x^47+17x^48+2x^49+6x^50+3x^52+1x^58

The gray image is a code over GF(2) with n=148, k=14 and d=56.
This code was found by Heurico 1.16 in 6.56 seconds.