Prime p₀= 724812655197933329 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: GLeeM
db: batch=73, k=10, 2 16 2 10 2

STPT(10)	724812212984718119	0 2 48 50 60 62 72 74 120 122	-442213215210
STPT(10)	724812402943906001	0 2 6 8 48 50 90 92 96 98	-252254027328
SPT(16)	724812432253867079	0 2 78 84 108 122 132 150 152 170 180 194 218 224 300 302	-222944066250
SPT(16)	724812479679367571	0 6 18 20 30 48 66 86 162 182 200 218 228 230 242 248	-175518565758
STPT(10)	724812540553041011	0 2 36 38 78 80 120 122 156 158	-114644892318
SPT(16)	724812567134507279	0 2 30 32 44 68 72 74 108 110 114 138 150 152 180 182	-88063426050
STPT(10)	724812682729155479	0 2 18 20 30 32 42 44 60 62	27531222150
SPT(16)	724812945058348771	0 6 28 76 108 120 132 150 238 256 268 280 312 360 382 388	289860415442
STPT(10)	724812958092650699	0 2 18 20 30 32 42 44 60 62	302894717370
STPT(10)	724813041895259927	0 2 30 32 42 44 54 56 84 86	386697326598
SPT(16)	724813150257656321	0 26 30 36 38 50 66 68 138 140 156 168 170 176 180 206	495059722992