Prime p₀= 2313457360211260187 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: WTBroughton
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2313454556614063571	0 2 78 80 120 122 168 170 210 212 216 218 258 260	-2803597196616
STPT(10)	2313454739420681609	0 2 18 20 30 32 42 44 60 62	-2620790578578
SPT(16)	2313454750776462301	0 40 66 108 142 178 180 196 222 238 240 276 310 352 378 418	-2609434797886
SPT(16)	2313455328580746139	0 4 48 54 70 88 102 118 144 160 174 192 208 214 258 262	-2031630514048
TPT(14)	2313455428420403381	0 2 36 38 48 50 78 80 156 158 168 170 240 242	-1931790856806
SPT(16)	2313455889162175699	0 12 54 82 142 144 148 168 184 204 208 210 270 298 340 352	-1471049084488
STPT(10)	2313457592059160147	0 2 42 44 72 74 102 104 144 146	231847899960
SPT(16)	2313457811347794871	0 36 48 78 126 148 238 240 328 330 420 442 490 520 532 568	451136534684
STPT(10)	2313457864941153011	0 2 6 8 48 50 90 92 96 98	504729892824
STPT(10)	2313458069855799407	0 2 30 32 72 74 114 116 144 146	709644539220
STPT(10)	2313458959540868987	0 2 12 14 42 44 72 74 84 86	1599329608800