Prime p₀= 729500960961820037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG]steini
db: batch=73, k=10, 2 10 2 58 2

STPT(10)	729500404964888057	0 2 54 56 72 74 90 92 144 146	-555996931980
SPT(16)	729500479221512083	0 24 28 54 94 96 100 138 166 204 208 210 250 276 280 304	-481740307954
STPT(10)	729500609744930867	0 2 30 32 42 44 54 56 84 86	-351216889170
SPT(16)	729500615598966311	0 6 38 50 78 102 116 248 270 402 416 440 468 480 512 518	-345362853726
STPT(10)	729500840294309561	0 2 30 32 78 80 126 128 156 158	-120667510476
SPT(16)	729500840854347131	0 12 20 108 120 150 176 198 230 252 278 308 320 408 416 428	-120107472906
STPT(10)	729500997942817907	0 2 30 32 120 122 210 212 240 242	36980997870
TPT(14)	729501849195557687	0 2 12 14 84 86 132 134 144 146 240 242 294 296	888233737650
TPT(14)	729502143966464501	0 2 6 8 48 50 66 68 78 80 90 92 138 140	1183004644464
STPT(10)	729502537878942197	0 2 30 32 42 44 54 56 84 86	1576917122160
SPT(16)	729502580282066497	0 12 30 64 100 102 112 114 130 132 142 144 180 214 232 244	1619320246460