The generator matrix

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

generates a code of length 19 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+96x^48+48x^49+48x^51+525x^52+144x^53+288x^55+753x^56+336x^57+432x^59+1038x^60+240x^61+117x^64+21x^68+9x^72

The gray image is a linear code over GF(4) with n=76, k=6 and d=48.
This code was found by Heurico 1.16 in 0.0217 seconds.