Prime p₀= 2183535877958216627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Rantanplan
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2183534167567432637	0 2 12 14 42 44 72 74 84 86	-1710390783990
SPT(16)	2183534201201599109	0 2 68 80 114 122 140 164 198 222 240 248 282 294 360 362	-1676756617518
STPT(10)	2183534287876165919	0 2 30 32 60 62 90 92 120 122	-1590082050708
SPT(16)	2183534483197828099	0 28 30 34 70 78 94 100 132 138 154 162 198 202 204 232	-1394760388528
SPT(16)	2183534792071158619	0 10 22 52 64 112 114 130 132 148 150 198 210 240 252 262	-1085887058008
SPT(16)	2183534916833192023	0 10 28 48 70 84 90 118 156 184 190 204 226 246 264 274	-961125024604
STPT(10)	2183535989654683397	0 2 30 32 42 44 54 56 84 86	111696466770
SPT(16)	2183536240571868779	0 20 44 72 90 102 120 128 174 182 200 212 230 258 282 302	362613652152
SPT(16)	2183536355976870187	0 24 30 34 40 76 94 124 126 156 174 210 216 220 226 250	478018653560
TPT(14)	2183536680168999479	0 2 18 20 30 32 120 122 162 164 372 374 420 422	802210782852
STPT(10)	2183536773590359667	0 2 30 32 42 44 54 56 84 86	895632143040