Prime p₀= 2539970238731134211 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 46 2 40 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 120 122 168 170 198 200
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 200
Found by: JayPi
db: batch=82, k=12, 2 28 2 46 2 40

STPT(10)	2539968548044101257	0 2 30 32 72 74 114 116 144 146	-1690687032954
SPT(16)	2539968650336069891	0 32 50 56 80 96 102 120 158 176 182 198 222 228 246 278	-1588395064320
STPT(10)	2539968710468536547	0 2 54 56 72 74 90 92 144 146	-1528262597664
STPT(10)	2539968854742747689	0 2 18 20 30 32 42 44 60 62	-1383988386522
STPT(10)	2539969209181663601	0 2 66 68 138 140 210 212 276 278	-1029549470610
SPT(16)	2539969950761840969	0 8 32 72 108 140 162 170 240 248 270 302 338 378 402 410	-287969293242
SPT(16)	2539970661880939873	0 10 24 34 40 48 70 106 108 144 166 174 180 190 204 214	423149805662
SPT(16)	2539971427090853317	0 30 42 100 162 190 204 210 214 220 234 262 324 382 394 424	1188359719106
SPT(16)	2539971465446331779	0 14 18 78 120 162 212 218 234 240 290 332 374 434 438 452	1226715197568
STPT(10)	2539972029456606359	0 2 18 20 30 32 42 44 60 62	1790725472148
SPT(16)	2539972037886854309	0 78 92 162 204 224 254 260 342 348 378 398 440 510 524 602	1799155720098