Prime p₀= 2136004922865458261 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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: 278
Found by: Landjunge
db: batch=80, k=10, 2 106 2 28 2

TPT(14)	2136003744540628799	0 2 12 14 18 20 42 44 48 50 90 92 168 170	-1178324829462
STPT(10)	2136003787189935329	0 2 18 20 60 62 102 104 120 122	-1135675522932
STPT(10)	2136003869839891937	0 2 30 32 72 74 114 116 144 146	-1053025566324
SPT(16)	2136004129502627389	0 22 42 48 84 90 102 148 174 220 232 238 274 280 300 322	-793362830872
SPT(16)	2136004198964364427	0 10 54 84 132 142 156 180 196 220 234 244 292 322 366 376	-723901093834
SPT(16)	2136004897267812661	0 10 28 30 52 76 82 96 112 126 132 156 178 180 198 208	-25597645600
SPT(16)	2136005192284437437	0 6 14 32 56 74 90 116 150 176 192 210 234 252 260 266	269418979176
SPT(16)	2136005256069119489	0 38 42 54 60 62 98 164 168 234 270 272 278 290 294 332	333203661228
SPT(16)	2136005672570531207	0 24 50 80 186 234 260 266 294 300 326 374 480 510 536 560	749705072946
STPT(10)	2136005960733494819	0 2 12 14 30 32 48 50 60 62	1037868036558
STPT(10)	2136006410570043857	0 2 24 26 42 44 60 62 84 86	1487704585596