Prime p₀= 2713583174009086187 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Roadranner
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2713581643410102181	0 78 148 178 220 246 252 268 300 316 322 348 390 420 490 568	-1530598984006
STPT(10)	2713582304136460451	0 2 30 32 78 80 126 128 156 158	-869872625736
SPT(16)	2713582456907995327	0 36 40 72 120 142 166 202 204 240 264 286 334 366 370 406	-717101090860
SPT(16)	2713582569466760587	0 22 24 100 114 192 234 312 322 400 442 520 534 610 612 634	-604542325600
SPT(16)	2713582601448400469	0 8 14 50 68 74 90 104 168 182 198 204 222 258 264 272	-572560685718
TPT(14)	2713582624808318057	0 2 12 14 60 62 90 92 114 116 174 176 222 224	-549200768130
STPT(10)	2713583835689211299	0 2 42 44 90 92 138 140 180 182	661680125112
TPT(14)	2713584353950880819	0 2 48 50 138 140 162 164 180 182 210 212 288 290	1179941794632
STPT(10)	2713584487840410827	0 2 30 32 42 44 54 56 84 86	1313831324640
SPT(16)	2713585010026530019	0 22 34 84 118 120 144 168 304 328 352 354 388 438 450 472	1836017443832
SPT(16)	2713585868404878739	0 18 34 42 52 84 90 108 154 172 178 210 220 228 244 262	2694395792552