Prime p₀= 1130159612607813017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1130158698967390507	0 10 22 42 100 130 142 172 174 204 216 246 304 324 336 346	-913640422510
STPT(10)	1130158728798786677	0 2 12 14 42 44 72 74 84 86	-883809026340
SPT(16)	1130158749690611789	0 14 18 24 84 98 110 134 144 168 180 194 254 260 264 278	-862917201228
STPT(10)	1130158861178838851	0 2 6 8 48 50 90 92 96 98	-751428974166
SPT(16)	1130158941657715363	0 10 60 88 144 150 186 190 234 238 274 280 336 364 414 424	-670950097654
STPT(10)	1130159582257756709	0 2 168 170 180 182 192 194 360 362	-30350056308
SPT(16)	1130159808859752677	0 2 14 26 32 84 86 144 152 210 212 264 270 282 294 296	196251939660
SPT(16)	1130159830907951897	0 20 36 44 56 62 92 174 182 264 294 300 312 320 336 356	218300138880
SPT(16)	1130159961463449529	0 40 48 78 82 84 148 160 252 264 328 330 334 364 372 412	348855636512
STPT(10)	1130160522653333627	0 2 30 32 42 44 54 56 84 86	910045520610
SPT(16)	1130160602710392119	0 42 80 102 104 114 122 132 140 150 158 168 170 192 230 272	990102579102