The generator matrix

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

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+321x^48+360x^49+408x^50+1185x^52+1224x^53+696x^54+2604x^56+2616x^57+1224x^58+2517x^60+1944x^61+744x^62+516x^64+15x^68+6x^72+3x^76

The gray image is a linear code over GF(4) with n=76, k=7 and d=48.
This code was found by Heurico 1.16 in 0.271 seconds.