Prime p₀= 2037822383119571309 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: gemini8
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2037821086871974277	0 2 30 32 42 44 54 56 84 86	-1296247597032
SPT(16)	2037821120721766447	0 12 22 30 42 60 64 112 114 162 166 184 196 204 214 226	-1262397804862
SPT(16)	2037821356667469371	0 38 50 78 140 150 152 176 192 216 218 228 290 318 330 368	-1026452101938
SPT(16)	2037821640615727543	0 48 58 64 118 124 156 180 184 208 240 246 300 306 316 364	-742503843766
STPT(10)	2037821706455351021	0 2 6 8 18 20 30 32 36 38	-676664220288
SPT(16)	2037821878885954313	0 14 50 78 80 96 110 126 158 174 188 204 206 234 270 284	-504233616996
STPT(10)	2037822451480293977	0 2 30 32 72 74 114 116 144 146	68360722668
STPT(10)	2037822509243880839	0 2 18 20 30 32 42 44 60 62	126124309530
STPT(10)	2037822589079082101	0 2 6 8 18 20 30 32 36 38	205959510792
SPT(16)	2037822786633591523	0 4 18 24 60 66 114 166 198 250 298 304 340 346 360 364	403514020214
TPT(14)	2037822992017649267	0 2 54 56 90 92 114 116 144 146 222 224 252 254	608898077958