Prime p₀= 1311782113434853937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: vaughan
db: batch=77, k=10, 2 28 2 28 2

TPT(14)	1311781299435602507	0 2 12 14 30 32 114 116 204 206 222 224 264 266	-813999251430
STPT(10)	1311781313557843979	0 2 12 14 90 92 168 170 180 182	-799877009958
STPT(10)	1311781383270014351	0 2 36 38 78 80 120 122 156 158	-730164839586
SPT(16)	1311781452193741523	0 14 36 56 60 74 98 170 294 366 390 404 408 428 450 464	-661241112414
STPT(10)	1311781545683865587	0 2 90 92 102 104 114 116 204 206	-567750988350
SPT(16)	1311782008648558589	0 2 20 38 48 50 72 134 198 260 282 284 294 312 330 332	-104786295348
TPT(14)	1311782164993345007	0 2 30 32 42 44 72 74 84 86 132 134 144 146	51558491070
SPT(16)	1311782216165434691	0 6 30 32 60 108 116 168 170 222 230 278 306 308 332 338	102730580754
STPT(10)	1311782246791410167	0 2 54 56 72 74 90 92 144 146	133356556230
SPT(16)	1311782325498219361	0 12 36 76 78 180 246 282 286 322 388 490 492 532 556 568	212063365424
STPT(10)	1311782430139931081	0 2 96 98 138 140 180 182 276 278	316705077144