Prime p₀= 2330180562979512557 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: MarkRBright
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2330178755432915029	0 10 48 54 88 100 112 168 184 240 252 264 298 304 342 352	-1807546597528
STPT(10)	2330179035400183787	0 2 30 32 42 44 54 56 84 86	-1527579328770
SPT(16)	2330179660643706481	0 30 58 96 136 150 168 172 246 250 268 282 322 360 388 418	-902335806076
SPT(16)	2330179862227124801	0 38 62 80 108 126 132 168 200 236 242 260 288 306 330 368	-700752387756
SPT(16)	2330180226540502163	0 14 84 86 116 120 146 170 330 354 380 384 414 416 486 500	-336439010394
STPT(10)	2330180336179518671	0 2 30 32 60 62 90 92 120 122	-226799993886
STPT(10)	2330180852089376327	0 2 30 32 42 44 54 56 84 86	289109863770
TPT(14)	2330181128916237629	0 2 42 44 102 104 132 134 138 140 198 200 240 242	565936725072
SPT(16)	2330181203012276189	0 8 32 44 78 104 120 144 158 182 198 224 258 270 294 302	640032763632
STPT(10)	2330181271714366979	0 2 18 20 30 32 42 44 60 62	708734854422
SPT(16)	2330181748779996989	0 30 44 62 80 128 150 212 300 362 384 432 450 468 482 512	1185800484432