Prime p₀= 2507766852856839479 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: JayPi
db: batch=82, k=12, 2 46 2 28 2 10

STPT(10)	2507766208428629411	0 2 6 8 48 50 90 92 96 98	-644428210068
SPT(18)	2507766374924443417	0 12 16 24 100 192 226 234 246 310 322 330 364 456 532 540 544 556	-477932396062
SPT(16)	2507766395670767467	0 4 12 54 60 90 112 124 132 144 166 196 202 244 252 256	-457186072012
SPT(16)	2507766464189743499	0 8 14 44 98 182 198 200 252 254 270 354 408 438 444 452	-388667095980
STPT(10)	2507766740768277251	0 2 30 32 168 170 306 308 336 338	-112088562228
STPT(10)	2507766760469436407	0 2 30 32 42 44 54 56 84 86	-92387403072
STPT(10)	2507767050202578419	0 2 12 14 90 92 168 170 180 182	197345738940
STPT(10)	2507767306590645257	0 2 30 32 72 74 114 116 144 146	453733805778
SPT(16)	2507767320169703281	0 106 156 160 180 226 280 288 328 336 390 436 456 460 510 616	467312863802
STPT(10)	2507767352407740737	0 2 12 14 42 44 72 74 84 86	499550901258
SPT(16)	2507767557714310571	0 8 38 42 72 92 96 120 158 182 186 206 236 240 270 278	704857471092