Prime p₀= 2156766309863250257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
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: 266
Found by: Landjunge
db: batch=81, k=10, 2 10 2 118 2

SPT(16)	2156764802500991237	0 44 80 122 132 146 176 296 330 450 480 494 504 546 582 626	-1507362259020
TPT(14)	2156764832727027671	0 2 30 32 66 68 108 110 126 128 150 152 168 170	-1477136222586
SPT(16)	2156765583233493119	0 30 44 60 90 110 188 210 242 264 342 362 392 408 422 452	-726629757138
SPT(16)	2156765882705747351	0 78 108 132 152 162 198 210 218 230 266 276 296 320 350 428	-427157502906
SPT(16)	2156765977428261883	0 54 106 136 166 190 208 238 246 276 294 318 348 378 430 484	-332434988374
STPT(10)	2156766248669981447	0 2 42 44 72 74 102 104 144 146	-61193268810
SPT(16)	2156766333373379347	0 6 34 42 76 120 154 184 222 252 286 330 364 372 400 406	23510129090
STPT(10)	2156766571240762841	0 2 6 8 48 50 90 92 96 98	261377512584
SPT(20)	2156766926191257383	0 68 110 120 134 204 216 264 288 320 324 356 380 428 440 510 524 534 576 644	616328007126
STPT(10)	2156767166557857377	0 2 30 32 42 44 54 56 84 86	856694607120
SPT(16)	2156767182685355479	0 18 54 72 78 82 100 142 150 192 210 214 220 238 274 292	872822105222