Prime p₀= 2866328206672232747 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: Landjunge
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2866326660407065837	0 4 34 42 100 126 132 142 144 154 160 186 244 252 282 286	-1546265166910
STPT(10)	2866326887473954277	0 2 42 44 102 104 162 164 204 206	-1319198278470
STPT(10)	2866327046577204281	0 2 30 32 78 80 126 128 156 158	-1160095028466
SPT(16)	2866327137411810641	0 20 32 60 92 108 116 122 126 132 140 156 188 216 228 248	-1069260422106
STPT(10)	2866327161049738229	0 2 18 20 30 32 42 44 60 62	-1045622494518
SPT(16)	2866328184161099237	0 2 12 20 72 86 104 126 170 192 210 224 276 284 294 296	-22511133510
SPT(16)	2866328410933658071	0 16 18 30 70 120 126 142 156 172 178 228 268 280 282 298	204261425324
STPT(10)	2866328428747986437	0 2 42 44 72 74 102 104 144 146	222075753690
STPT(10)	2866328548976638937	0 2 90 92 102 104 114 116 204 206	342304406190
SPT(13)	2866328923052404123	0 18 48 108 168 198 234 270 300 360 420 450 468	716380171376
STPT(12)	2866329314440152329	0 2 30 32 72 74 150 152 192 194 222 224	1107767919582