Prime p₀= 2342292399155363951 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)	2342291495857102921	0 6 18 28 48 88 132 138 250 256 300 340 360 370 382 388	-903298261030
SPT(18)	2342291735544105347	0 6 62 66 74 170 252 266 270 356 360 374 456 552 560 564 620 626	-663611258604
SPT(16)	2342291856387400033	0 4 46 90 166 186 190 198 256 264 268 288 364 408 450 454	-542767963918
TPT(14)	2342292097826350247	0 2 12 14 30 32 54 56 132 134 144 146 240 242	-301329013704
SPT(16)	2342292111420764539	0 4 22 24 54 70 82 100 234 252 264 280 310 312 330 334	-287734599412
STPT(10)	2342292196614886091	0 2 36 38 78 80 120 122 156 158	-202540477860
TPT(14)	2342292538633564157	0 2 12 14 84 86 102 104 132 134 252 254 312 314	139478200206
STPT(10)	2342292985803846077	0 2 30 32 60 62 90 92 120 122	586648482126
SPT(16)	2342293066092865343	0 14 20 78 80 96 138 150 194 206 248 264 266 324 330 344	666937501392
STPT(10)	2342293264812675917	0 2 30 32 42 44 54 56 84 86	865657311966
TPT(14)	2342293697844704711	0 2 90 92 156 158 186 188 198 200 258 260 288 290	1298689340760