The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+68x^30+180x^31+360x^32+522x^33+651x^34+876x^35+999x^36+974x^37+959x^38+872x^39+639x^40+490x^41+315x^42+140x^43+73x^44+26x^45+21x^46+12x^47+8x^48+4x^49+2x^50

The gray image is a code over GF(2) with n=148, k=13 and d=60.
This code was found by Heurico 1.16 in 1.46 seconds.