Prime p₀= 2146234356487333547 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2146233031632296963	0 54 68 74 80 156 158 206 258 306 308 384 390 396 410 464	-1324855036584
STPT(10)	2146233138765489869	0 2 18 20 30 32 42 44 60 62	-1217721843678
TPT(14)	2146233285406006757	0 2 30 32 120 122 132 134 162 164 204 206 210 212	-1071081326790
STPT(10)	2146233563654518571	0 2 36 38 78 80 120 122 156 158	-792832814976
STPT(10)	2146233571054534601	0 2 6 8 48 50 90 92 96 98	-785432798946
STPT(10)	2146234280936536001	0 2 30 32 78 80 126 128 156 158	-75550797546
SPT(16)	2146234593413349533	0 6 20 66 68 80 108 146 210 248 276 288 290 336 350 356	236926015986
STPT(10)	2146234757383982267	0 2 30 32 60 62 90 92 120 122	400896648720
SPT(16)	2146234805803606841	0 12 56 72 92 96 162 180 182 200 266 270 290 306 350 362	449316273294
TPT(14)	2146235149214964317	0 2 12 14 72 74 210 212 222 224 264 266 354 356	792727630770
SPT(16)	2146235364520063049	0 32 62 72 80 90 114 150 164 200 224 234 242 252 282 314	1008032729502