The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  X a*X a*X a^5*X a^5*X a^6*X a^6*X  0  X a*X a^2*X
 0  0  X a^6*X a^2*X a^4*X  X a^2*X a^6*X a^4*X a*X a^4*X a*X a*X

generates a code of length 14 over F8[X]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+147x^88+196x^96+3584x^98+49x^104+119x^112

The gray image is a linear code over GF(8) with n=112, k=4 and d=88.
This code was found by Heurico 1.16 in 0.00217 seconds.