Prime p₀= 2787626587643565137 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2787625974836504141	0 8 18 32 42 96 116 138 140 162 182 236 246 260 270 278	-612807060996
STPT(10)	2787626012765093411	0 2 6 8 18 20 30 32 36 38	-574878471726
TPT(14)	2787626035290104579	0 2 18 20 102 104 180 182 240 242 432 434 492 494	-552353460558
SPT(16)	2787626243469853537	0 34 42 52 64 90 120 126 160 166 196 222 234 244 252 286	-344173711600
SPT(16)	2787626308770368281	0 60 72 108 132 160 178 196 282 300 318 346 370 406 418 478	-278873196856
SPT(16)	2787626407146332837	0 24 44 56 74 86 114 126 224 236 264 276 294 306 326 350	-180497232300
STPT(10)	2787627232778607587	0 2 30 32 42 44 54 56 84 86	645135042450
SPT(16)	2787627386234357383	0 40 78 114 118 120 138 156 208 226 244 246 250 286 324 364	798590792246
SPT(16)	2787627874415191253	0 146 200 216 224 260 290 300 344 354 384 420 428 444 498 644	1286771626116
SPT(16)	2787628135639738381	0 30 70 102 130 132 138 156 172 190 196 198 226 258 298 328	1547996173244
SPT(16)	2787628162173235103	0 48 86 90 104 116 128 156 158 186 198 210 224 228 266 314	1574529669966