The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+42x^29+100x^30+142x^31+306x^32+470x^33+631x^34+834x^35+1026x^36+1082x^37+1034x^38+926x^39+618x^40+418x^41+254x^42+134x^43+84x^44+36x^45+24x^46+12x^47+11x^48+3x^50+2x^52+2x^54

The gray image is a code over GF(2) with n=148, k=13 and d=58.
This code was found by Heurico 1.16 in 1.81 seconds.