The generator matrix

 1  0  0  0  1  1  1  X  1 a^2*X  1  1  1  1  1 a^2*X  1  1  1  1  1  X  1  1  1  0  1 a^2*X  1  1  1  1  1  1  1  1  1  1
 0  1  0  0  X  1 X+1  1 a*X  1 a^2*X+a X+a^2 a^2 a*X+1 a*X+a  1  a X+a^2  X a*X+a^2 a^2  0 a^2*X  a a^2  1 a^2*X+a^2  1 a^2*X+1  0  a a*X+1 a^2*X+a a^2*X+a^2 a^2*X+a a^2*X X+a^2 a^2*X
 0  0  1  0 a^2*X+1  1 a^2*X a^2*X+1 X+1 a^2*X+a a^2*X+a^2  X a^2*X+a^2 X+a a*X X+a a^2*X+a a^2*X+1 a*X+a^2 a*X+a  1  1 X+a^2 a*X+a^2  X a^2*X+1 X+1 X+1 X+1 X+a a*X+a  0 a^2*X  0 a^2*X+1 X+a^2 a^2  X
 0  0  0  1 a^2  X a*X+a^2 a*X+a^2  a a^2*X X+a a^2*X+a^2 a^2*X+1 a*X+1  1  a a*X  a a^2*X+a^2 X+1  0  a X+a a^2*X+1 a*X+a a^2*X+a a*X+1 a*X+1 a*X+a^2 a^2  1 X+a a^2 a^2*X a^2*X a^2*X X+1 a*X+1

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

Homogenous weight enumerator: w(x)=1x^0+588x^101+720x^102+528x^103+888x^104+2292x^105+2040x^106+1572x^107+1497x^108+4212x^109+3540x^110+2652x^111+2514x^112+5868x^113+4932x^114+3972x^115+2715x^116+7224x^117+4908x^118+2820x^119+2214x^120+3696x^121+2004x^122+744x^123+387x^124+696x^125+288x^126+9x^128+9x^132+6x^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 9.56 seconds.