The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  X  1  1  1  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 aX+1  1 X+a
 0  0  1 a+1  1  a  a X+a  1  0 (a+1)X+a  X  a (a+1)X (a+1)X (a+1)X+a  X X+a (a+1)X+a
 0  0  0  X aX (a+1)X  X  0 (a+1)X aX  0 aX  0 (a+1)X  X (a+1)X  0 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+357x^48+264x^49+420x^50+96x^51+1320x^52+936x^53+660x^54+576x^55+2280x^56+1944x^57+1260x^58+864x^59+2616x^60+1464x^61+732x^62+564x^64+24x^68+6x^72

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 0.198 seconds.