Prime p₀= 2515198551035045399 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: Rantanplan
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2515196221345567379	0 14 60 104 120 168 170 188 210 228 230 278 294 338 384 398	-2329689478020
STPT(10)	2515196441454580307	0 2 30 32 72 74 114 116 144 146	-2109580465092
SPT(16)	2515197038298981151	0 16 40 42 52 96 156 222 250 316 376 420 430 432 456 472	-1512736064248
SPT(16)	2515197273231310079	0 12 14 20 42 54 74 80 84 90 110 122 144 150 152 164	-1277803735320
STPT(10)	2515198269228111767	0 2 24 26 42 44 60 62 84 86	-281806933632
STPT(10)	2515198296004113569	0 2 12 14 90 92 168 170 180 182	-255030931830
STPT(10)	2515199846219345609	0 2 18 20 30 32 42 44 60 62	1295184300210
TPT(14)	2515200054646734569	0 2 72 74 132 134 168 170 270 272 288 290 330 332	1503611689170
TPT(14)	2515200261573485579	0 2 78 80 90 92 120 122 240 242 252 254 288 290	1710538440180
SPT(16)	2515200373894071803	0 36 56 66 84 86 108 114 140 146 168 170 188 198 218 254	1822859026404
SPT(16)	2515200744512051021	0 12 20 26 48 90 96 116 132 152 158 200 222 228 236 248	2193477005622