Prime p₀= 2367196588688833787 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: ChUcK
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2367195203252161021	0 6 42 78 88 112 120 126 172 178 186 210 220 256 292 298	-1385436672766
STPT(10)	2367195485420332319	0 2 18 20 30 32 42 44 60 62	-1103268501468
SPT(16)	2367195760585562233	0 40 64 96 148 174 186 204 220 238 250 276 328 360 384 424	-828103271554
SPT(16)	2367196016927552927	0 20 30 62 120 132 162 176 216 230 260 272 330 362 372 392	-571761280860
SPT(16)	2367196309253225249	0 8 42 48 92 120 132 144 158 170 182 210 254 260 294 302	-279435608538
SPT(16)	2367196349111897321	0 120 126 132 156 176 188 200 228 240 252 272 296 302 308 428	-239576936466
SPT(16)	2367196616017982279	0 38 48 122 194 224 234 258 284 308 318 348 420 494 504 542	27329148492
STPT(10)	2367197114743389701	0 2 48 50 108 110 168 170 216 218	526054555914
STPT(10)	2367197128313949287	0 2 42 44 72 74 102 104 144 146	539625115500
SPT(16)	2367197379001393061	0 2 32 48 50 62 78 92 96 110 126 138 140 156 186 188	790312559274
SPT(16)	2367197383167949679	0 14 20 44 78 138 168 198 200 230 260 320 354 378 384 398	794479115892