Prime p₀= 2336676001938932387 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2336674866258732907	0 12 42 64 66 84 120 136 150 166 202 220 222 244 274 286	-1135680199480
SPT(16)	2336674930354939061	0 12 20 32 42 116 132 170 198 236 252 326 336 348 356 368	-1071583993326
SPT(16)	2336674983990137927	0 42 44 66 86 152 156 182 204 230 234 300 320 342 344 386	-1017948794460
STPT(10)	2336675040130449059	0 2 18 20 30 32 42 44 60 62	-961808483328
STPT(10)	2336675295775236431	0 2 36 38 78 80 120 122 156 158	-706163695956
STPT(10)	2336675385708070859	0 2 48 50 90 92 132 134 180 182	-616230861528
SPT(16)	2336677058803295941	0 36 78 96 132 192 210 232 276 298 316 376 412 430 472 508	1056864363554
STPT(10)	2336677165349991719	0 2 12 14 90 92 168 170 180 182	1163411059332
SPT(16)	2336677285141173829	0 10 30 54 60 78 130 144 148 162 214 232 238 262 282 292	1283202241442
SPT(16)	2336677307683448057	0 32 42 54 56 60 74 102 104 132 146 150 152 164 174 206	1305744515670
SPT(18)	2336677336838376263	0 6 68 86 98 110 128 228 338 396 506 606 624 636 648 666 728 734	1334899443876