Prime p₀= 2239812712288385417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Penguin
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2239811733974930411	0 2 6 8 18 20 30 32 36 38	-978313455006
SPT(16)	2239811792963850929	0 20 50 104 108 134 284 290 312 318 468 494 498 552 582 602	-919324534488
SPT(16)	2239812073525776313	0 18 54 88 100 120 124 174 280 330 334 354 366 400 436 454	-638762609104
SPT(16)	2239812472220556503	0 6 86 116 138 174 176 228 296 348 350 386 408 438 518 524	-240067828914
SPT(13)	2239812583060289389	0 12 42 54 60 84 102 120 144 150 162 192 204	-129228096028
SPT(16)	2239812695321133797	0 20 42 50 54 60 62 90 104 132 134 140 144 152 174 194	-16967251620
STPT(12)	2239812775146038639	0 2 30 32 42 44 108 110 120 122 150 152	62857653222
SPT(16)	2239812989839226957	0 56 74 96 116 126 152 206 240 294 320 330 350 372 390 446	277550841540
STPT(10)	2239813056191793581	0 2 36 38 78 80 120 122 156 158	343903408164
STPT(10)	2239813473968062541	0 2 6 8 48 50 90 92 96 98	761679677124
STPT(10)	2239813779214298237	0 2 30 32 42 44 54 56 84 86	1066925912820