Prime p₀= 2261553857111331161 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Ben
db: batch=81, k=10, 2 34 2 40 2

TPT(14)	2261551507510698437	0 2 12 14 24 26 60 62 84 86 102 104 234 236	-2349600632724
STPT(10)	2261551790001754427	0 2 90 92 102 104 114 116 204 206	-2067109576734
SPT(16)	2261552101236544861	0 30 52 78 90 106 112 150 208 246 252 268 280 306 328 358	-1755874786300
STPT(10)	2261552448608153819	0 2 18 20 30 32 42 44 60 62	-1408503177342
SPT(16)	2261552608340133671	0 2 50 62 92 132 146 156 182 192 206 246 276 288 336 338	-1248771197490
SPT(16)	2261553235013875697	0 6 20 24 42 104 122 140 156 174 192 254 272 276 290 296	-622097455464
STPT(10)	2261554460260016027	0 2 30 32 42 44 54 56 84 86	603148684866
TPT(14)	2261554649049790067	0 2 30 32 150 152 180 182 210 212 240 242 252 254	791938458906
SPT(16)	2261554794923739473	0 30 110 114 126 144 156 200 264 308 320 338 350 354 434 464	937812408312
SPT(16)	2261555017320836101	0 18 28 40 90 96 112 118 210 216 232 238 288 300 310 328	1160209504940
SPT(16)	2261555017531637911	0 40 42 48 58 118 160 168 172 180 222 282 292 298 300 340	1160420306750