The generator matrix

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

generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+72x^39+196x^40+296x^41+447x^42+690x^43+959x^44+1254x^45+1550x^46+1768x^47+1989x^48+1780x^49+1417x^50+1340x^51+1004x^52+688x^53+402x^54+192x^55+188x^56+68x^57+15x^58+34x^59+13x^60+10x^61+8x^62+2x^64+1x^66

The gray image is a code over GF(2) with n=192, k=14 and d=78.
This code was found by Heurico 1.16 in 11.3 seconds.