Prime p₀= 2037737105305604369 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 16 2 40 2

STPT(12)	2037735265087902641	0 2 18 20 60 62 156 158 198 200 216 218	-1840217701728
SPT(16)	2037735664119298457	0 20 84 96 174 194 266 294 332 360 432 452 530 542 606 626	-1441186305912
SPT(16)	2037735877359149551	0 42 72 78 96 108 126 138 150 162 180 192 210 216 246 288	-1227946454818
STPT(10)	2037736170183277181	0 2 36 38 78 80 120 122 156 158	-935122327188
STPT(10)	2037736769013317789	0 2 18 20 30 32 42 44 60 62	-336292286580
SPT(16)	2037736870523847781	0 18 60 88 112 136 150 172 186 208 222 246 270 298 340 358	-234781756588
SPT(16)	2037737415418012181	0 20 26 32 42 60 66 102 230 266 272 290 300 306 312 332	310112407812
STPT(10)	2037737622637425659	0 2 18 20 30 32 42 44 60 62	517331821290
STPT(10)	2037737646481999457	0 2 30 32 72 74 114 116 144 146	541176395088
STPT(10)	2037737670055665437	0 2 30 32 72 74 114 116 144 146	564750061068
STPT(10)	2037737691767403971	0 2 36 38 78 80 120 122 156 158	586461799602