Prime p₀= 2299867920191577941 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: Orange Kid
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2299866629463573749	0 20 62 80 90 120 122 132 140 150 152 182 192 210 252 272	-1290728004192
SPT(16)	2299866709237734499	0 18 30 70 88 150 198 202 210 214 262 324 342 382 394 412	-1210953843442
STPT(10)	2299866717583314791	0 2 6 8 18 20 30 32 36 38	-1202608263150
SPT(16)	2299867085268221977	0 16 22 100 120 144 162 166 270 274 292 316 336 414 420 436	-834923355964
SPT(16)	2299867839372029341	0 10 18 70 72 126 136 142 156 162 172 226 228 280 288 298	-80819548600
SPT(16)	2299867853599280551	0 6 10 28 66 72 108 132 196 220 256 262 300 318 322 328	-66592297390
STPT(10)	2299868598484841609	0 2 30 32 120 122 210 212 240 242	678293263668
STPT(10)	2299869616812061121	0 2 36 38 78 80 120 122 156 158	1696620483180
TPT(16)	2299869795628556819	0 2 48 50 150 152 180 182 192 194 222 224 252 254 258 260	1875436978878
TPT(14)	2299869991595075897	0 2 30 32 90 92 174 176 384 386 450 452 462 464	2071403497956
STPT(10)	2299870148131040897	0 2 24 26 42 44 60 62 84 86	2227939462956