Prime p₀= 2373501382681206689 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=81, k=10, 2 16 2 10 2

SPT(16)	2373500306496149839	0 10 12 28 52 72 78 88 162 172 178 198 222 238 240 250	-1076185056850
SPT(16)	2373500327405448053	0 14 30 54 74 134 140 158 180 198 204 264 284 308 324 338	-1055275758636
SPT(16)	2373500765824201309	0 22 30 90 108 114 168 174 178 184 238 244 262 322 330 352	-616857005380
STPT(10)	2373500771676470297	0 2 30 32 120 122 210 212 240 242	-611004736392
STPT(10)	2373500777555411501	0 2 6 8 48 50 90 92 96 98	-605125795188
TPT(14)	2373501265803900599	0 2 42 44 78 80 132 134 162 164 180 182 210 212	-116877306090
SPT(16)	2373501534650071799	0 18 42 44 120 162 164 180 182 198 200 242 318 320 344 362	151968865110
SPT(16)	2373501861562332031	0 18 66 136 166 168 186 208 270 292 310 312 342 412 460 478	478881125342
STPT(10)	2373501869403250709	0 2 12 14 30 32 48 50 60 62	486722044020
STPT(10)	2373502115524084547	0 2 30 32 72 74 114 116 144 146	732842877858
STPT(10)	2373502519711688711	0 2 66 68 108 110 150 152 216 218	1137030482022