Prime p₀= 2071122297536414009 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)	2071120865942606311	0 18 22 28 30 42 72 106 192 226 256 268 270 276 280 298	-1431593807698
STPT(10)	2071120973700539219	0 2 18 20 30 32 42 44 60 62	-1323835874790
SPT(16)	2071121439073676897	0 32 36 62 92 110 176 222 224 270 336 354 384 410 414 446	-858462737112
SPT(13)	2071122065714151493	0 60 66 108 150 168 198 228 246 288 330 336 396	-231822262516
STPT(10)	2071122120305665211	0 2 36 38 78 80 120 122 156 158	-177230748798
SPT(16)	2071122273942608881	0 12 18 22 40 42 100 120 130 150 208 210 228 232 238 250	-23593805128
SPT(16)	2071122426594233773	0 28 54 60 70 96 126 150 154 178 208 234 244 250 276 304	129057819764
TPT(14)	2071122659226501677	0 2 30 32 60 62 144 146 222 224 240 242 252 254	361690087668
SPT(16)	2071122882892838251	0 12 22 58 88 100 112 120 148 156 168 180 210 246 256 268	585356424242
STPT(10)	2071123129945231247	0 2 12 14 42 44 72 74 84 86	832408817238
TPT(14)	2071123183693211771	0 2 126 128 156 158 168 170 186 188 258 260 270 272	886156797762