Prime p₀= 787413464637340997 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: paulteo
db: batch=73, k=10, 2 28 2 10 2

TPT(14)	787413028733479691	0 2 90 92 138 140 180 182 228 230 240 242 306 308	-435903861306
SPT(16)	787413153756677053	0 40 88 100 114 130 138 144 184 190 198 214 228 240 288 328	-310880663944
SPT(16)	787413188890762373	0 14 18 24 38 56 66 90 134 158 168 186 200 206 210 224	-275746578624
SPT(18)	787413193577031851	0 20 26 48 56 62 90 98 126 152 180 188 216 222 230 252 258 278	-271060309146
STPT(10)	787413244500936407	0 2 54 56 72 74 90 92 144 146	-220136404590
SPT(16)	787413266883688751	0 56 78 96 126 138 150 182 186 218 230 242 272 290 312 368	-197753652246
STPT(10)	787414052211568421	0 2 6 8 48 50 90 92 96 98	587574227424
SPT(16)	787414243554397609	0 24 28 34 72 82 108 112 120 124 150 160 198 204 208 232	778917056612
STPT(10)	787414714096055609	0 2 12 14 90 92 168 170 180 182	1249458714612
SPT(13)	787414721188790339	0 12 30 72 78 102 120 138 162 168 210 228 240	1256551449342
SPT(18)	787415839730092369	0 42 174 180 198 222 262 264 268 294 298 300 340 364 382 388 520 562	2375092751372