Prime p₀= 2338732489927162949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

STPT(10)	2338730904093185489	0 2 18 20 30 32 42 44 60 62	-1585833977460
SPT(16)	2338731382571291707	0 4 24 30 52 70 124 130 306 312 366 384 406 412 432 436	-1107355871242
TPT(14)	2338731452928215507	0 2 30 32 162 164 204 206 222 224 294 296 360 362	-1036998947442
STPT(10)	2338731519076036421	0 2 126 128 138 140 150 152 276 278	-970851126528
SPT(16)	2338731914728619261	0 26 36 90 96 140 152 176 192 216 228 272 278 332 342 368	-575198543688
TPT(14)	2338731986298035891	0 2 78 80 90 92 138 140 258 260 318 320 336 338	-503629127058
SPT(16)	2338732539178971259	0 18 24 102 130 132 190 192 280 282 340 342 370 448 454 472	49251808310
SPT(16)	2338732633572994667	0 12 32 50 56 72 92 134 162 204 224 240 246 264 284 296	143645831718
STPT(10)	2338732846591728407	0 2 60 62 72 74 84 86 144 146	356664565458
TPT(14)	2338732870514035769	0 2 90 92 180 182 222 224 228 230 270 272 300 302	380586872820
SPT(16)	2338732994936285053	0 46 58 94 130 144 166 178 186 198 220 234 270 306 318 364	505009122104