The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+32x^26+81x^28+68x^29+187x^30+192x^31+371x^32+1136x^33+1362x^34+1344x^35+2068x^36+2712x^37+2067x^38+1344x^39+1372x^40+1136x^41+364x^42+192x^43+166x^44+68x^45+65x^46+32x^48+18x^50+4x^52+1x^54+1x^60

The gray image is a code over GF(2) with n=148, k=14 and d=52.
This code was found by Heurico 1.16 in 5.89 seconds.