Prime p₀= 1562493790809613301 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 40 2 28 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 78 80 120 122 126 128
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: 128
Found by: xii5ku
db: batch=78, k=12, 2 4 2 40 2 28

STPT(10)	1562492867882918297	0 2 60 62 72 74 84 86 144 146	-922926695004
SPT(16)	1562493094198846553	0 6 20 24 66 90 134 146 204 216 260 284 326 330 344 350	-696610766748
STPT(10)	1562493097938584597	0 2 30 32 60 62 90 92 120 122	-692871028704
SPT(16)	1562493225326642533	0 16 40 60 88 166 168 196 198 226 228 306 334 354 378 394	-565482970768
STPT(10)	1562493455136345341	0 2 36 38 78 80 120 122 156 158	-335673267960
SPT(16)	1562493689923918637	0 2 14 36 56 86 156 174 182 200 270 300 320 342 354 356	-100885694664
TPT(20)	1562493805226894147	0 2 102 104 252 254 264 266 324 326 390 392 450 452 522 524 564 566 672 674	14417280846
SPT(16)	1562493825127446517	0 36 120 124 144 180 190 196 204 210 220 256 276 280 364 400	34317833216
STPT(10)	1562494133745183311	0 2 30 32 78 80 126 128 156 158	342935570010
SPT(16)	1562494154765304113	0 20 36 48 78 90 138 146 168 176 224 236 266 278 294 314	363955690812
SPT(16)	1562494160725813171	0 28 30 42 90 148 150 198 202 250 252 310 358 370 372 400	369916199870