Prime p₀= 2329152411505280729 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2329151410592688217	0 4 60 64 72 76 132 142 144 154 210 214 222 226 282 286	-1000912592512
STPT(12)	2329151857430883299	0 2 12 14 42 44 48 50 78 80 90 92	-554074397430
TPT(16)	2329151928361446821	0 2 6 8 66 68 90 92 96 98 150 152 276 278 306 308	-483143833908
STPT(10)	2329151994471032567	0 2 12 14 72 74 132 134 144 146	-417034248162
STPT(10)	2329152141648520157	0 2 30 32 72 74 114 116 144 146	-269856760572
STPT(10)	2329152281050772159	0 2 12 14 90 92 168 170 180 182	-130454508570
SPT(16)	2329152726409344113	0 14 26 48 50 78 84 126 188 230 236 264 266 288 300 314	314904063384
TPT(14)	2329152825484164707	0 2 24 26 102 104 144 146 210 212 234 236 240 242	413978883978
STPT(10)	2329153219280604329	0 2 18 20 30 32 42 44 60 62	807775323600
STPT(10)	2329153232128971881	0 2 6 8 48 50 90 92 96 98	820623691152
SPT(16)	2329153591543770427	0 30 60 66 102 130 154 172 174 192 216 244 280 286 316 346	1180038489698