Prime p₀= 2144134749902987459 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 10 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 90 92 120 122 168 170
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: 170
Found by: Landjunge
db: batch=80, k=12, 2 46 2 28 2 10

TPT(14)	2144132919199564607	0 2 30 32 84 86 144 146 150 152 270 272 312 314	-1830703422852
SPT(16)	2144133261195602939	0 8 12 14 30 42 44 72 110 138 140 152 168 170 174 182	-1488707384520
STPT(10)	2144133333437462957	0 2 42 44 72 74 102 104 144 146	-1416465524502
SPT(16)	2144133774569430571	0 42 46 48 82 88 90 142 366 418 420 426 460 462 466 508	-975333556888
STPT(10)	2144133997735552631	0 2 6 8 48 50 90 92 96 98	-752167434828
SPT(16)	2144134089319522357	0 36 52 66 120 150 154 162 214 222 226 256 310 324 340 376	-660583465102
SPT(16)	2144135232791126347	0 34 54 64 70 114 180 190 210 220 286 330 336 346 366 400	482888138888
SPT(16)	2144135402738972947	0 24 36 40 90 120 124 154 162 192 196 226 276 280 292 316	652835985488
STPT(10)	2144135466578316221	0 2 90 92 108 110 126 128 216 218	716675328762
SPT(16)	2144135571550336883	0 54 74 78 138 140 158 168 176 186 204 206 266 270 290 344	821647349424
STPT(10)	2144136258616692251	0 2 6 8 18 20 30 32 36 38	1508713704792