Prime p₀= 2807586670451522147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2807585296780473883	0 48 70 90 114 154 168 198 280 310 324 364 388 408 430 478	-1373671048264
STPT(10)	2807585467558823837	0 2 54 56 72 74 90 92 144 146	-1202892698310
SPT(16)	2807585719837207597	0 36 112 124 142 162 186 210 226 250 274 294 312 324 400 436	-950614314550
SPT(16)	2807585886920131693	0 28 34 76 166 168 180 204 220 244 256 258 348 390 396 424	-783531390454
STPT(10)	2807586218291764079	0 2 42 44 60 62 78 80 120 122	-452159758068
SPT(16)	2807586457733678603	0 36 38 50 104 156 164 168 176 180 188 240 294 306 308 344	-212717843544
STPT(10)	2807586694031902967	0 2 30 32 60 62 90 92 120 122	23580380820
SPT(16)	2807587354294724717	0 74 80 86 102 140 156 200 216 260 276 314 330 336 342 416	683843202570
TPT(14)	2807587589313650081	0 2 66 68 78 80 198 200 306 308 378 380 540 542	918862127934
SPT(16)	2807587619769725867	0 6 20 50 60 74 86 114 116 144 156 170 180 210 224 230	949318203720
TPT(14)	2807587838598046937	0 2 12 14 30 32 42 44 54 56 180 182 240 242	1168146524790