Prime p₀= 2636711123034764057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Dirk Broer
db: batch=82, k=10, 2 40 2 28 2

STPT(10)	2636709789432976847	0 2 30 32 102 104 174 176 204 206	-1333601787210
TPT(14)	2636710088917558571	0 2 66 68 78 80 150 152 156 158 360 362 390 392	-1034117205486
TPT(14)	2636710477800468149	0 2 42 44 108 110 300 302 372 374 390 392 420 422	-645234295908
SPT(16)	2636710478887829347	0 34 84 106 154 156 174 204 232 262 280 282 330 352 402 436	-644146934710
TPT(16)	2636710775199202391	0 2 48 50 138 140 180 182 186 188 198 200 240 242 306 308	-347835561666
TPT(14)	2636711074885091177	0 2 24 26 30 32 42 44 120 122 204 206 282 284	-48149672880
SPT(16)	2636711567765895397	0 40 84 112 120 130 136 144 172 180 186 196 204 232 276 316	444731131340
SPT(13)	2636711884537068323	0 24 60 66 84 144 150 156 216 234 240 276 300	761502304266
SPT(16)	2636711898625894801	0 22 40 60 88 126 150 162 196 208 232 270 298 318 336 358	775591130744
SPT(16)	2636712479679626567	0 24 44 92 126 176 212 216 290 294 330 380 414 462 482 506	1356644862510
SPT(16)	2636712964645804711	0 28 58 88 90 118 130 142 186 198 210 238 240 270 300 328	1841611040654