The generator matrix

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

generates a code of length 57 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+318x^152+432x^153+480x^154+1104x^155+2388x^156+2280x^157+2340x^158+3132x^159+6141x^160+5640x^161+4812x^162+5664x^163+11253x^164+9312x^165+7884x^166+9936x^167+17364x^168+14244x^169+10320x^170+13128x^171+21261x^172+16092x^173+11844x^174+12396x^175+19125x^176+12912x^177+8028x^178+7392x^179+9510x^180+5688x^181+2964x^182+2280x^183+2379x^184+948x^185+456x^186+264x^187+288x^188+36x^189+24x^190+30x^192+33x^196+12x^200+3x^204+3x^208+3x^216

The gray image is a linear code over GF(4) with n=228, k=9 and d=152.
This code was found by Heurico 1.16 in 217 seconds.