Prime p₀= 2299866717583314791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2299865551902619279	0 34 42 52 88 112 132 148 174 190 210 234 270 280 288 322	-1165680695512
STPT(10)	2299865739346790939	0 2 42 44 60 62 78 80 120 122	-978236523852
STPT(10)	2299865757506893361	0 2 30 32 60 62 90 92 120 122	-960076421430
STPT(10)	2299866006378238547	0 2 60 62 72 74 84 86 144 146	-711205076244
SPT(16)	2299866629463573749	0 20 62 80 90 120 122 132 140 150 152 182 192 210 252 272	-88119741042
SPT(16)	2299866709237734499	0 18 30 70 88 150 198 202 210 214 262 324 342 382 394 412	-8345580292
SPT(16)	2299867085268221977	0 16 22 100 120 144 162 166 270 274 292 316 336 414 420 436	367684907186
SPT(16)	2299867839372029341	0 10 18 70 72 126 136 142 156 162 172 226 228 280 288 298	1121788714550
SPT(16)	2299867853599280551	0 6 10 28 66 72 108 132 196 220 256 262 300 318 322 328	1136015965760
STPT(10)	2299867920191577941	0 2 6 8 18 20 30 32 36 38	1202608263150
STPT(10)	2299868598484841609	0 2 30 32 120 122 210 212 240 242	1880901526818