Prime p₀= 2582163448466176847 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: Paul
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2582162421870211703	0 18 24 50 74 78 80 116 168 204 206 210 234 260 266 284	-1026595965144
SPT(16)	2582162946340361537	0 6 26 32 74 96 126 140 156 170 200 222 264 270 290 296	-502125815310
SPT(16)	2582163167769832357	0 90 112 120 126 130 142 190 222 270 282 286 292 300 322 412	-280696344490
STPT(10)	2582163182883001769	0 2 42 44 60 62 78 80 120 122	-265583175078
SPT(16)	2582163311271230111	0 8 12 20 78 96 110 132 146 168 182 200 258 266 270 278	-137194946736
STPT(10)	2582163370465754399	0 2 18 20 30 32 42 44 60 62	-78000422448
SPT(16)	2582163574153814543	0 8 48 50 54 146 168 188 246 266 288 380 384 386 426 434	125687637696
STPT(10)	2582164128215836037	0 2 30 32 42 44 54 56 84 86	679749659190
TPT(14)	2582164304791255361	0 2 60 62 78 80 156 158 258 260 270 272 336 338	856325078514
SPT(16)	2582164356856832807	0 2 20 24 42 54 56 86 90 120 122 134 152 156 174 176	908390655960
STPT(10)	2582164480145683619	0 2 18 20 30 32 42 44 60 62	1031679506772