Prime p₀= 2071120973700539219 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: Cruncher Pete
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2071120142040935627	0 36 54 66 102 120 180 204 332 356 416 434 470 482 500 536	-831659603592
STPT(10)	2071120354455962837	0 2 30 32 42 44 54 56 84 86	-619244576382
TPT(14)	2071120392557582711	0 2 36 38 78 80 90 92 120 122 198 200 408 410	-581142956508
SPT(16)	2071120465888590703	0 6 54 114 126 136 156 160 174 178 198 208 220 280 328 334	-507811948516
SPT(16)	2071120646792427053	0 20 26 36 54 104 126 176 234 284 306 356 374 384 390 410	-326908112166
SPT(16)	2071120865942606311	0 18 22 28 30 42 72 106 192 226 256 268 270 276 280 298	-107757932908
SPT(16)	2071121439073676897	0 32 36 62 92 110 176 222 224 270 336 354 384 410 414 446	465373137678
SPT(13)	2071122065714151493	0 60 66 108 150 168 198 228 246 288 330 336 396	1092013612274
STPT(10)	2071122120305665211	0 2 36 38 78 80 120 122 156 158	1146605125992
SPT(16)	2071122273942608881	0 12 18 22 40 42 100 120 130 150 208 210 228 232 238 250	1300242069662
STPT(10)	2071122297536414009	0 2 18 20 30 32 42 44 60 62	1323835874790