The generator matrix

 1  0  0  0  1  1  1  X  1  1  0  1  1  X  1  1  1 aX  1
 0  1  0  0  X  1 X+1  1 (a+1)X (a+1)X+1  1 (a+1)X+1  X  1 aX+a (a+1)X+a+1 aX+1  1 (a+1)X+a
 0  0  1  0 (a+1)X+1  1 (a+1)X (a+1)X+1 aX+1 aX X+a (a+1)X+a a+1 X+a+1 (a+1)X+1  X aX+1 X+a+1  a
 0  0  0  1 a+1  X aX+a+1 aX+a+1  a aX+a aX+a aX+a+1 (a+1)X+a+1 X+a aX (a+1)X X+a aX+a+1 (a+1)X+a

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

Homogenous weight enumerator: w(x)=1x^0+228x^46+792x^47+600x^48+528x^49+2100x^50+2616x^51+1965x^52+1584x^53+5292x^54+6120x^55+4035x^56+4464x^57+11004x^58+9000x^59+4281x^60+2640x^61+4416x^62+2976x^63+861x^64+15x^68+15x^72+3x^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 3.41 seconds.