Prime p₀= 2591369839683640577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: JayPi
db: batch=82, k=10, 2 70 2 28 2

SPT(16)	2591369058517129769	0 2 8 92 110 120 152 194 198 240 272 282 300 384 390 392	-781166510808
STPT(10)	2591369420373784871	0 2 6 8 18 20 30 32 36 38	-419309855706
SPT(16)	2591369479902845137	0 96 114 126 192 216 222 244 402 424 430 454 520 532 550 646	-359780795440
SPT(16)	2591369482698049049	0 12 20 42 98 110 120 122 138 140 150 162 218 240 248 260	-356985591528
STPT(10)	2591369693190558977	0 2 30 32 72 74 114 116 144 146	-146493081600
STPT(10)	2591369766362495057	0 2 30 32 60 62 90 92 120 122	-73321145520
STPT(10)	2591369995659652349	0 2 18 20 30 32 42 44 60 62	155976011772
STPT(10)	2591370076487717267	0 2 30 32 42 44 54 56 84 86	236804076690
SPT(16)	2591370110773706413	0 28 46 88 118 130 144 156 268 280 294 306 336 378 396 424	271090065836
STPT(10)	2591370183004165877	0 2 12 14 42 44 72 74 84 86	343320525300
STPT(10)	2591370499255227647	0 2 12 14 42 44 72 74 84 86	659571587070