Prime p₀= 2066280578113584137 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: Cruncher Pete
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2066279381494514897	0 2 42 44 72 74 102 104 144 146	-1196619069240
TPT(14)	2066279416959611129	0 2 12 14 78 80 90 92 108 110 150 152 210 212	-1161153973008
STPT(10)	2066279635729829711	0 2 36 38 78 80 120 122 156 158	-942383754426
STPT(10)	2066280178094944751	0 2 36 38 78 80 120 122 156 158	-400018639386
SPT(16)	2066280193547975597	0 56 140 206 234 254 260 294 332 366 372 392 420 486 570 626	-384565608540
TPT(14)	2066280471275388281	0 2 60 62 156 158 180 182 216 218 348 350 396 398	-106838195856
STPT(10)	2066280697302964661	0 2 36 38 78 80 120 122 156 158	119189380524
SPT(16)	2066281477743022283	0 30 56 78 86 108 156 200 216 260 308 330 338 360 386 416	899629438146
SPT(16)	2066281624507877191	0 6 52 72 106 136 162 226 252 316 342 372 406 426 472 478	1046394293054
SPT(16)	2066282061497839777	0 12 22 42 54 72 82 96 100 114 124 142 154 174 184 196	1483384255640
STPT(10)	2066282686927677791	0 2 126 128 138 140 150 152 276 278	2108814093654