Prime p₀= 2350394751294728597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Xenon
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2350393733134313467	0 12 24 34 60 82 160 234 280 354 432 454 480 490 502 514	-1018160415130
SPT(16)	2350394277976148699	0 8 32 60 72 74 80 92 150 162 168 170 182 210 234 242	-473318579898
TPT(14)	2350394306528646947	0 2 84 86 114 116 174 176 204 206 240 242 294 296	-444766081650
SPT(16)	2350394355707291977	0 24 30 72 94 100 114 132 202 220 234 240 262 304 310 334	-395587436620
SPT(16)	2350394372107985351	0 18 32 92 98 102 120 210 278 368 386 390 396 456 470 488	-379186743246
SPT(16)	2350394465474644627	0 34 54 64 82 90 112 120 124 132 154 162 180 190 210 244	-285820083970
SPT(16)	2350394901676764751	0 12 42 76 78 90 118 120 208 210 238 250 252 286 316 328	150382036154
STPT(10)	2350394933813360207	0 2 54 56 72 74 90 92 144 146	182518631610
TPT(14)	2350394958802263341	0 2 48 50 150 152 216 218 276 278 300 302 336 338	207507534744
STPT(10)	2350395154621809857	0 2 42 44 72 74 102 104 144 146	403327081260
TPT(14)	2350395330583700549	0 2 30 32 42 44 210 212 270 272 288 290 378 380	579288971952