The generator matrix

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

generates a code of length 25 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+672x^66+816x^68+2136x^70+1200x^72+3096x^74+2265x^76+3528x^78+1305x^80+1320x^82+18x^84+6x^88+21x^92

The gray image is a linear code over GF(4) with n=100, k=7 and d=66.
This code was found by Heurico 1.16 in 0.743 seconds.