The generator matrix

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

generates a code of length 38 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+561x^100+216x^101+396x^102+552x^103+2337x^104+852x^105+696x^106+1560x^107+5067x^108+2112x^109+1152x^110+2544x^111+8271x^112+3528x^113+1296x^114+3984x^115+10374x^116+3768x^117+1644x^118+3048x^119+6402x^120+1668x^121+792x^122+600x^123+1653x^124+144x^125+168x^126+78x^128+39x^132+15x^136+18x^140

The gray image is a linear code over GF(4) with n=152, k=8 and d=100.
This code was found by Heurico 1.16 in 10.1 seconds.