Prime p₀= 2037821706455351021 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: gemini8
db: batch=80, k=10, 2 4 2 10 2

STPT(10)	2037820407365953829	0 2 12 14 90 92 168 170 180 182	-1299089397192
SPT(16)	2037820656293077169	0 24 48 90 134 138 204 210 218 224 290 294 338 380 404 428	-1050162273852
STPT(10)	2037821086871974277	0 2 30 32 42 44 54 56 84 86	-619583376744
SPT(16)	2037821120721766447	0 12 22 30 42 60 64 112 114 162 166 184 196 204 214 226	-585733584574
SPT(16)	2037821356667469371	0 38 50 78 140 150 152 176 192 216 218 228 290 318 330 368	-349787881650
SPT(16)	2037821640615727543	0 48 58 64 118 124 156 180 184 208 240 246 300 306 316 364	-65839623478
SPT(16)	2037821878885954313	0 14 50 78 80 96 110 126 158 174 188 204 206 234 270 284	172430603292
STPT(10)	2037822383119571309	0 2 18 20 30 32 42 44 60 62	676664220288
STPT(10)	2037822451480293977	0 2 30 32 72 74 114 116 144 146	745024942956
STPT(10)	2037822509243880839	0 2 18 20 30 32 42 44 60 62	802788529818
STPT(10)	2037822589079082101	0 2 6 8 18 20 30 32 36 38	882623731080