Prime p₀= 2313457592059160147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: WTBroughton
db: batch=81, k=10, 2 40 2 28 2

STPT(10)	2313454739420681609	0 2 18 20 30 32 42 44 60 62	-2852638478538
SPT(16)	2313454750776462301	0 40 66 108 142 178 180 196 222 238 240 276 310 352 378 418	-2841282697846
SPT(16)	2313455328580746139	0 4 48 54 70 88 102 118 144 160 174 192 208 214 258 262	-2263478414008
TPT(14)	2313455428420403381	0 2 36 38 48 50 78 80 156 158 168 170 240 242	-2163638756766
SPT(16)	2313455889162175699	0 12 54 82 142 144 148 168 184 204 208 210 270 298 340 352	-1702896984448
STPT(10)	2313457360211260187	0 2 12 14 42 44 72 74 84 86	-231847899960
SPT(16)	2313457811347794871	0 36 48 78 126 148 238 240 328 330 420 442 490 520 532 568	219288634724
STPT(10)	2313457864941153011	0 2 6 8 48 50 90 92 96 98	272881992864
STPT(10)	2313458069855799407	0 2 30 32 72 74 114 116 144 146	477796639260
STPT(10)	2313458959540868987	0 2 12 14 42 44 72 74 84 86	1367481708840
STPT(10)	2313459124892462147	0 2 12 14 42 44 72 74 84 86	1532833302000