Prime p₀= 2978751539474542859 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2978749561041806567	0 12 42 72 110 122 140 266 276 402 420 432 470 500 530 542	-1978432736292
STPT(10)	2978750399082889157	0 2 24 26 42 44 60 62 84 86	-1140391653702
SPT(16)	2978751261561423407	0 2 86 90 126 192 210 276 296 362 380 446 482 486 570 572	-277913119452
SPT(16)	2978751347486688049	0 34 64 70 100 154 160 162 202 204 210 264 294 300 330 364	-191987854810
SPT(16)	2978751353749986349	0 22 30 72 108 112 148 174 178 204 240 244 280 322 330 352	-185724556510
SPT(16)	2978751530374473247	0 16 34 36 94 216 220 276 280 336 340 462 520 522 540 556	-9100069612
SPT(16)	2978751886893856571	0 2 66 68 78 86 138 170 318 350 402 410 420 422 486 488	347419313712
STPT(10)	2978752090598023931	0 2 36 38 78 80 120 122 156 158	551123481072
TPT(14)	2978752116376838519	0 2 18 20 42 44 90 92 132 134 222 224 240 242	576902295660
STPT(10)	2978752412454504071	0 2 126 128 138 140 150 152 276 278	872979961212
STPT(10)	2978752488680518601	0 2 6 8 18 20 30 32 36 38	949205975742