Prime p₀= 2334709372737156599 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(18)	2334708083186827241	0 12 18 36 60 80 90 152 180 188 216 278 288 308 332 350 356 368	-1289550329358
STPT(10)	2334708189212897291	0 2 96 98 138 140 180 182 276 278	-1183524259308
SPT(16)	2334708414885907129	0 82 88 90 108 112 124 130 132 138 150 154 172 174 180 262	-957851249470
SPT(16)	2334708715975108139	0 14 18 60 80 102 104 132 140 168 170 192 212 254 258 272	-656762048460
SPT(16)	2334708837731395187	0 30 102 110 144 212 222 230 264 272 282 350 384 392 464 494	-535005761412
SPT(16)	2334709201884615379	0 4 48 54 70 118 124 130 162 168 174 222 238 244 288 292	-170852541220
SPT(16)	2334710170101179737	0 16 40 60 130 132 142 144 322 324 334 336 406 426 450 466	797364023138
SPT(16)	2334710385794044481	0 12 18 26 32 66 80 116 132 168 182 216 222 230 236 248	1013056887882
SPT(16)	2334710551356733787	0 14 44 54 102 110 144 146 180 182 216 224 272 282 312 326	1178619577188
STPT(10)	2334710786605707467	0 2 24 26 42 44 60 62 84 86	1413868550868
STPT(10)	2334711067001361311	0 2 6 8 48 50 90 92 96 98	1694264204712