Prime p₀= 2037720081042252749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: paulteo
db: batch=80, k=10, 2 16 2 10 2

SPT(18)	2037718268848737859	0 4 42 72 88 114 118 130 174 178 222 234 238 264 280 310 348 352	-1812193514890
SPT(16)	2037718331584538437	0 16 30 52 60 72 172 186 226 240 340 352 360 382 396 412	-1749457714312
SPT(16)	2037718828381037993	0 14 24 36 44 80 90 168 206 284 294 330 338 350 360 374	-1252661214756
STPT(10)	2037719028507908477	0 2 30 32 42 44 54 56 84 86	-1052534344272
STPT(10)	2037719200436406239	0 2 18 20 30 32 42 44 60 62	-880605846510
SPT(16)	2037719676042184877	0 14 26 32 36 42 54 84 92 122 134 140 144 150 162 176	-405000067872
TPT(14)	2037720404375881781	0 2 6 8 48 50 150 152 210 212 288 290 348 350	323333629032
STPT(10)	2037720487555487687	0 2 30 32 42 44 54 56 84 86	406513234938
STPT(10)	2037720510685961009	0 2 18 20 30 32 42 44 60 62	429643708260
STPT(12)	2037720752305481861	0 2 36 38 48 50 78 80 90 92 126 128	671263229112
STPT(10)	2037720877354718069	0 2 42 44 90 92 138 140 180 182	796312465320