Prime p₀= 2136678669667463531 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 28 2 46 2

SPT(18)	2136677242028296921	0 30 46 48 52 126 136 142 150 178 186 192 202 276 280 282 298 328	-1427639166610
STPT(10)	2136677554018699817	0 2 30 32 72 74 114 116 144 146	-1115648763714
SPT(16)	2136677884686679253	0 6 44 110 134 138 156 168 176 188 206 210 234 300 338 344	-784980784278
STPT(10)	2136677936975346431	0 2 6 8 18 20 30 32 36 38	-732692117100
STPT(10)	2136678141559049897	0 2 12 14 42 44 72 74 84 86	-528108413634
SPT(16)	2136678208564960141	0 72 76 126 138 190 228 336 412 520 558 610 622 672 676 748	-461102503390
SPT(16)	2136678807599571581	0 56 68 108 126 188 198 210 218 230 240 302 320 360 372 428	137932108050
SPT(16)	2136678814865306237	0 36 44 56 86 92 152 164 252 264 324 330 360 372 380 416	145197842706
SPT(16)	2136678864147485941	0 10 48 70 78 100 118 148 210 240 258 280 288 310 348 358	194480022410
TPT(14)	2136678939808692707	0 2 150 152 204 206 360 362 492 494 660 662 684 686	270141229176
STPT(10)	2136678993925760099	0 2 48 50 90 92 132 134 180 182	324258296568