Prime p₀= 1262404064884186307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: HenkM
db: batch=77, k=10, 2 28 2 40 2

SPT(16)	1262401139216193643	0 6 28 60 66 78 94 118 186 210 226 238 244 276 298 304	-2925667992664
STPT(10)	1262401653616568789	0 2 42 44 60 62 78 80 120 122	-2411267617518
SPT(16)	1262402440399945687	0 6 22 30 52 64 72 150 166 244 252 264 286 294 310 316	-1624484240620
SPT(16)	1262402870370389507	0 50 60 84 114 116 140 222 284 366 390 392 422 446 456 506	-1194513796800
SPT(16)	1262403269885692871	0 30 68 182 186 222 228 242 276 290 296 332 336 450 488 518	-794998493436
STPT(10)	1262403726145025279	0 2 12 14 30 32 48 50 60 62	-338739161028
STPT(10)	1262404295495668691	0 2 36 38 78 80 120 122 156 158	230611482384
SPT(16)	1262404386832699031	0 20 26 36 42 48 56 78 110 132 140 146 152 162 168 188	321948512724
SPT(18)	1262404951755074591	0 48 66 78 120 132 146 192 206 252 266 312 326 338 380 392 410 458	886870888284
STPT(10)	1262405172067356011	0 2 36 38 78 80 120 122 156 158	1107183169704
STPT(10)	1262405220746117447	0 2 24 26 42 44 60 62 84 86	1155861931140