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  1  X  1  1  1  1  1  1  1  1  1  X  X  X  X  1  X  X  X  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  2  2  0  2  2  0  2  2  2  0  2  2  2  2  2  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  2  2  2  2  2  0  0  2  2  0  0  2
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  2  0  2  2  0  2  2  2  2  0  2  2  2  2  2  2  2  2  2
 0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  0  2  2  2  0  0  2  0  2  2  2  0  0  2  0  0  2  0  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  0  2  2  0  2  0  2  0  0  2  2  2  2  2  0  2  2  2  0  0  2  2  2  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  0  2  2  0  2  2  0  2  2  0  2  2  0  0  0  2  0  2  2  0  2  0
 0  0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  0  2  0  0  0  2  0  2  2  2  2  2  0  2  0  2  0  0  0  0  2  0  2  2
 0  0  0  0  0  0  0  0  2  0  0  2  0  0  0  2  0  0  2  0  2  0  0  2  2  0  2  2  2  2  0  2  2  2  0  2  2  2  0  2  0  2
 0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  0  2  0  0  2  2  0  2  0  0  0  2  0  2  0  0  0  0  2  2  2  0  2  0
 0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  2  2  0  2  2  2  2  2  0  2  0  0  0  0  2  2  0  2  0  2  0  0

generates a code of length 42 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+62x^30+114x^32+162x^34+255x^36+401x^38+664x^40+4871x^42+659x^44+456x^46+239x^48+128x^50+90x^52+57x^54+22x^56+7x^58+3x^60+1x^68

The gray image is a code over GF(2) with n=168, k=13 and d=60.
This code was found by Heurico 1.16 in 5.13 seconds.