Prime p₀= 2116169739991734569 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2116167043657722841	0 30 48 88 106 142 268 286 312 330 456 492 510 550 568 598	-2696334011728
TPT(14)	2116167150243958067	0 2 12 14 90 92 180 182 222 224 240 242 252 254	-2589747776502
STPT(10)	2116167479557433969	0 2 42 44 60 62 78 80 120 122	-2260434300600
SPT(16)	2116168354741419697	0 12 82 90 190 222 244 264 280 300 322 354 454 462 532 544	-1385250314872
STPT(10)	2116169195311023899	0 2 48 50 90 92 132 134 180 182	-544680710670
STPT(10)	2116169591464008539	0 2 18 20 30 32 42 44 60 62	-148527726030
STPT(10)	2116169839338463001	0 2 30 32 60 62 90 92 120 122	99346728432
SPT(16)	2116169971578682363	0 10 18 40 64 70 88 268 276 456 474 480 504 526 534 544	231586947794
SPT(16)	2116169979468074953	0 30 54 78 90 96 120 126 148 154 178 184 196 220 244 274	239476340384
STPT(10)	2116170066340856717	0 2 90 92 102 104 114 116 204 206	326349122148
STPT(10)	2116170172630054127	0 2 30 32 72 74 114 116 144 146	432638319558