Prime p₀= 1176007898111771687 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: HenkM
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1176004332050317529	0 2 44 62 68 90 102 114 128 140 152 174 180 198 240 242	-3566061454158
TPT(14)	1176004963421204207	0 2 12 14 42 44 90 92 132 134 282 284 300 302	-2934690567480
SPT(16)	1176005081727534203	0 60 66 126 146 194 200 216 278 294 300 348 368 428 434 494	-2816384237484
SPT(16)	1176005215170967303	0 30 114 150 168 204 234 238 246 250 280 316 334 370 454 484	-2682940804384
SPT(16)	1176006343355139731	0 12 18 32 50 56 80 108 110 138 162 168 186 200 206 218	-1554756631956
SPT(16)	1176007614286772609	0 18 20 38 42 44 84 104 108 128 168 170 174 192 194 212	-283824999078
TPT(14)	1176008133058397687	0 2 102 104 114 116 144 146 180 182 222 224 270 272	234946626000
STPT(10)	1176008176377844697	0 2 30 32 42 44 54 56 84 86	278266073010
STPT(10)	1176008481997236029	0 2 18 20 30 32 42 44 60 62	583885464342
SPT(16)	1176008590921005697	0 30 34 60 100 130 142 144 202 204 216 246 286 312 316 346	692809234010
SPT(20)	1176008863094634839	0 2 14 32 72 152 168 200 222 230 252 260 282 314 330 410 450 468 480 482	964982863152