Prime p₀= 724966867363668581 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: stasieks
db: batch=73, k=10, 2 34 2 40 2

STPT(10)	724965750571162277	0 2 60 62 72 74 84 86 144 146	-1116792506304
SPT(16)	724965776976206789	0 20 44 60 74 122 140 144 188 192 210 258 272 288 312 332	-1090387461792
STPT(10)	724965882007320101	0 2 36 38 78 80 120 122 156 158	-985356348480
STPT(10)	724965947082804521	0 2 6 8 48 50 90 92 96 98	-920280864060
SPT(16)	724966026700242251	0 8 38 42 72 80 108 150 170 212 240 248 278 282 312 320	-840663426330
TPT(14)	724966519650151841	0 2 18 20 138 140 228 230 306 308 336 338 360 362	-347713516740
SPT(16)	724966909852548521	0 72 78 86 90 110 126 138 170 182 198 218 222 230 236 308	42488879940
STPT(10)	724966941426151817	0 2 30 32 42 44 54 56 84 86	74062483236
SPT(16)	724966998852020153	0 6 20 80 84 116 144 204 290 350 378 410 414 474 488 494	131488351572
TPT(14)	724967741203615241	0 2 48 50 66 68 90 92 126 128 168 170 180 182	873839946660
SPT(16)	724967772590206087	0 4 22 52 64 94 180 192 232 244 330 360 372 402 420 424	905226537506