Prime p₀= 2864544081446124767 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2864543364171655871	0 90 102 116 126 138 150 216 242 308 320 332 342 356 368 458	-717274468896
SPT(16)	2864543726441012821	0 10 18 30 36 46 66 76 102 112 132 142 148 160 168 178	-355005111946
SPT(16)	2864543857540980403	0 28 76 118 120 138 150 204 220 274 286 304 306 348 396 424	-223905144364
STPT(10)	2864543926853573519	0 2 42 44 60 62 78 80 120 122	-154592551248
SPT(16)	2864543941777824013	0 24 54 96 154 156 166 168 196 198 208 210 268 310 340 364	-139668300754
STPT(10)	2864543988491099009	0 2 18 20 30 32 42 44 60 62	-92955025758
STPT(12)	2864544199511431559	0 2 12 14 42 44 48 50 78 80 90 92	118065306792
SPT(16)	2864544263708446933	0 6 60 64 66 76 106 124 216 234 264 274 276 280 334 340	182262322166
SPT(16)	2864544805489235699	0 80 122 150 224 234 308 320 342 354 428 438 512 540 582 662	724043110932
STPT(10)	2864544881598867161	0 2 36 38 78 80 120 122 156 158	800152742394
SPT(16)	2864545006458826577	0 54 56 134 174 176 204 264 272 332 360 362 402 480 482 536	925012701810