Prime p₀= 2037125361282063761 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=80, k=10, 2 34 2 40 2

STPT(10)	2037124459162526519	0 2 42 44 60 62 78 80 120 122	-902119537242
STPT(10)	2037124575706661711	0 2 6 8 48 50 90 92 96 98	-785575402050
STPT(10)	2037124616017344611	0 2 6 8 18 20 30 32 36 38	-745264719150
SPT(16)	2037124648600502147	0 42 84 102 120 162 176 252 284 360 374 416 434 452 494 536	-712681561614
SPT(16)	2037125026288820527	0 22 30 112 124 174 204 220 264 280 310 360 372 454 462 484	-334993243234
TPT(14)	2037125168285989721	0 2 60 62 90 92 156 158 168 170 210 212 288 290	-192996074040
STPT(10)	2037126019784872109	0 2 18 20 30 32 42 44 60 62	658502808348
SPT(16)	2037126139498734587	0 20 24 30 44 62 86 90 116 120 144 162 176 182 186 206	778216670826
SPT(16)	2037126221229920671	0 12 22 28 60 82 100 130 138 168 186 208 240 246 256 268	859947856910
STPT(10)	2037126405740821007	0 2 30 32 42 44 54 56 84 86	1044458757246
TPT(14)	2037126580056004859	0 2 48 50 78 80 120 122 198 200 240 242 342 344	1218773941098