Prime p₀= 2874867642832853807 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 130 2 4 2 130 2 10 2 (?)
a_n: 0 2 12 14 144 146 150 152 282 284 294 296
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: 296
Found by: Landjunge
db: batch=82, k=12, 2 10 2 130 2 4

SPT(16)	2874866171622337513	0 18 60 84 90 126 154 174 190 210 238 274 280 304 346 364	-1471210516294
SPT(16)	2874866256820856059	0 28 58 60 72 100 114 178 234 298 312 340 352 354 384 412	-1386011997748
STPT(10)	2874866492247894239	0 2 18 20 30 32 42 44 60 62	-1150584959568
STPT(10)	2874867040838166767	0 2 30 32 180 182 330 332 360 362	-601994687040
SPT(16)	2874867365363612257	0 36 42 60 70 72 90 100 162 172 190 192 202 220 226 262	-277469241550
SPT(16)	2874867395105615677	0 10 36 76 82 102 150 172 210 232 280 300 306 346 372 382	-247727238130
STPT(10)	2874867898720993529	0 2 12 14 90 92 168 170 180 182	255888139722
STPT(10)	2874868260153599621	0 2 6 8 18 20 30 32 36 38	617320745814
TPT(14)	2874868859996188787	0 2 30 32 180 182 222 224 240 242 264 266 354 356	1217163334980
TPT(14)	2874869780954449247	0 2 12 14 30 32 90 92 132 134 180 182 210 212	2138121595440
SPT(16)	2874870153608887667	0 32 36 50 80 162 200 234 242 276 314 396 426 440 444 476	2510776033860