Prime p₀= 1016785895155490429 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Theadalus
db: batch=76, k=10, 2 10 2 16 2

STPT(12)	1016785022254101911	0 2 18 20 30 32 96 98 108 110 126 128	-872901388518
TPT(14)	1016785080464825051	0 2 78 80 120 122 156 158 186 188 198 200 210 212	-814690665378
SPT(16)	1016785151067480941	0 2 12 68 90 116 132 170 198 236 252 278 300 356 366 368	-744088009488
STPT(10)	1016785415420454707	0 2 30 32 42 44 54 56 84 86	-479735035722
SPT(16)	1016785446204927757	0 4 12 24 40 42 52 54 100 102 112 114 130 142 150 154	-448950562672
SPT(16)	1016785485900977453	0 14 24 66 140 204 260 276 278 294 350 414 488 530 540 554	-409254512976
SPT(16)	1016786045491473143	0 14 50 98 116 168 188 200 204 216 236 288 306 354 390 404	150335982714
STPT(10)	1016786091779522759	0 2 30 32 60 62 90 92 120 122	196624032330
SPT(16)	1016786153132152631	0 8 18 42 50 128 176 198 200 222 270 348 356 380 390 398	257976662202
STPT(10)	1016786311168468031	0 2 36 38 78 80 120 122 156 158	416012977602
STPT(10)	1016786446428527441	0 2 6 8 18 20 30 32 36 38	551273037012