Prime p₀= 1236571905206305709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Spectrum
db: batch=77, k=10, 2 16 2 10 2

TPT(14)	1236571102874435927	0 2 42 44 144 146 222 224 354 356 384 386 390 392	-802331869782
SPT(16)	1236571240925614469	0 24 32 68 84 98 110 140 162 192 204 218 234 270 278 302	-664280691240
STPT(12)	1236571349637789419	0 2 18 20 42 44 48 50 72 74 90 92	-555568516290
STPT(10)	1236571593073871441	0 2 30 32 78 80 126 128 156 158	-312132434268
STPT(10)	1236571799873336039	0 2 42 44 120 122 198 200 240 242	-105332969670
STPT(10)	1236571839004606397	0 2 42 44 72 74 102 104 144 146	-66201699312
SPT(16)	1236572131665000821	0 32 38 60 62 80 96 108 140 152 168 186 188 210 216 248	226458695112
SPT(16)	1236572234250222167	0 42 50 62 86 90 96 146 210 260 266 270 294 306 314 356	329043916458
SPT(16)	1236572298179156359	0 24 42 78 150 168 204 210 232 238 274 292 364 400 418 442	392972850650
SPT(16)	1236572338284624127	0 12 30 36 114 180 210 216 330 336 366 432 510 516 534 546	433078318418
SPT(16)	1236572338928333221	0 6 48 90 100 156 162 178 180 196 202 258 268 310 352 358	433722027512