The generator matrix

 1  0  0  0  1  1  1  X  1  1  0  1  1  1  1  1  1  1  1
 0  1  0  0  X  1 X+1  1 a*X a*X+1  1 a*X  1 a^2*X+a^2  a X+a a^2*X+1 X+a a^2*X
 0  0  1  0 a^2*X+1  1 a^2*X a^2*X+1 X+1  X X+a X+a^2  a a^2 a^2*X+a a^2*X+1 a^2*X+a^2  1  X
 0  0  0  1 a^2  X a*X+a^2 a*X+a^2  a a*X+a a^2*X+a a^2 X+a^2 a*X a*X+a  0  1 a*X+1 a^2*X+1

generates a code of length 19 over F4[X]/(X^2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+360x^46+648x^47+750x^48+672x^49+1560x^50+2304x^51+2412x^52+2016x^53+4776x^54+5328x^55+5253x^56+6240x^57+9288x^58+7488x^59+5274x^60+3360x^61+3984x^62+2664x^63+1131x^64+12x^68+9x^72+6x^76

The gray image is a linear code over GF(4) with n=76, k=8 and d=46.
This code was found by Heurico 1.16 in 3.5 seconds.