The generator matrix

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

generates a code of length 38 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+516x^101+816x^102+672x^103+663x^104+2148x^105+2196x^106+1848x^107+1311x^108+3984x^109+3756x^110+2916x^111+2145x^112+5724x^113+5520x^114+3972x^115+2556x^116+6312x^117+5040x^118+3660x^119+1656x^120+3792x^121+2364x^122+756x^123+351x^124+564x^125+276x^126+12x^128+6x^132+3x^136

The gray image is a linear code over GF(4) with n=152, k=8 and d=101.
This code was found by Heurico 1.16 in 11.5 seconds.