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

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+588x^101+780x^102+588x^103+591x^104+2196x^105+2580x^106+1524x^107+1014x^108+4116x^109+3984x^110+2784x^111+1818x^112+6480x^113+5616x^114+3696x^115+2010x^116+6684x^117+5844x^118+2868x^119+1434x^120+3804x^121+2460x^122+828x^123+282x^124+708x^125+240x^126+9x^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 10.8 seconds.