Prime p₀= 2317359351564113201 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=81, k=10, 2 34 2 40 2

STPT(10)	2317358331087638087	0 2 60 62 72 74 84 86 144 146	-1020476475114
SPT(16)	2317358724391281833	0 6 14 30 44 48 80 146 198 264 296 300 314 330 338 344	-627172831368
SPT(16)	2317358761974129721	0 22 130 156 168 178 190 198 220 228 240 250 262 288 396 418	-589589983480
SPT(16)	2317358792787778907	0 6 24 44 72 84 96 114 182 200 212 224 252 272 290 296	-558776334294
SPT(16)	2317358887626682673	0 8 30 54 68 78 86 120 134 168 176 186 200 224 246 254	-463937430528
TPT(14)	2317358909722469909	0 2 48 50 72 74 102 104 168 170 240 242 288 290	-441841643292
STPT(12)	2317359815604664757	0 2 12 14 42 44 90 92 120 122 132 134	464040551556
TPT(14)	2317359894400961801	0 2 18 20 66 68 96 98 150 152 156 158 516 518	542836848600
STPT(10)	2317359958608893699	0 2 42 44 90 92 138 140 180 182	607044780498
SPT(16)	2317360319349820247	0 24 42 44 66 86 90 116 180 206 210 230 252 254 272 296	967785707046
SPT(16)	2317360801169553457	0 16 40 64 136 184 240 310 330 400 456 504 576 600 624 640	1449605440256