Prime p₀= 4661789330023756751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG] Felix
db: batch=85, k=10, 2 4 2 10 2

SPT(16)	4661788244513316881	0 2 32 68 110 188 236 242 336 342 390 468 510 546 576 578	-1085510439870
SPT(16)	4661788261491727759	0 12 18 40 72 78 82 112 180 210 214 220 252 274 280 292	-1068532028992
SPT(16)	4661788272934423051	0 10 18 106 126 148 186 198 220 232 270 292 312 400 408 418	-1057089333700
STPT(12)	4661788621929943079	0 2 30 32 42 44 78 80 90 92 120 122	-708093813672
STPT(10)	4661788714602303287	0 2 84 86 132 134 180 182 264 266	-615421453464
STPT(10)	4661789151788027879	0 2 12 14 90 92 168 170 180 182	-178235728872
SPT(16)	4661789494842070499	0 84 98 122 164 194 234 240 362 368 408 438 480 504 518 602	164818313748
STPT(10)	4661789793291288347	0 2 30 32 42 44 54 56 84 86	463267531596
STPT(12)	4661789972989542059	0 2 42 44 60 62 102 104 120 122 162 164	642965785308
SPT(16)	4661790030811519297	0 6 30 40 42 76 82 126 130 174 180 214 216 226 250 256	700787762546
SPT(16)	4661790096161934761	0 12 26 48 50 78 98 152 156 210 230 258 260 282 296 308	766138178010