Prime p₀= 2729501132990389799 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2729499748213789037	0 14 32 42 50 62 90 102 134 146 174 186 194 204 222 236	-1384776600762
STPT(10)	2729500193198248541	0 2 36 38 78 80 120 122 156 158	-939792141258
TPT(14)	2729500210213318427	0 2 12 14 42 44 72 74 90 92 114 116 132 134	-922777071372
SPT(16)	2729500382185944421	0 18 40 42 52 108 138 162 196 220 250 306 316 318 340 358	-750804445378
SPT(16)	2729500505126085133	0 6 34 36 78 100 114 130 144 160 174 196 238 240 268 274	-627864304666
SPT(16)	2729500934597087689	0 54 90 114 124 154 174 184 234 244 264 294 304 328 364 418	-198393302110
STPT(10)	2729501146804771289	0 2 18 20 30 32 42 44 60 62	13814381490
SPT(16)	2729501720197449793	0 16 18 24 126 144 156 166 168 178 190 208 310 316 318 334	587207059994
SPT(16)	2729501817991916687	0 2 14 20 42 44 62 110 144 192 210 212 234 240 252 254	685001526888
TPT(14)	2729501879934288461	0 2 30 32 36 38 60 62 78 80 120 122 228 230	746943898662
SPT(16)	2729502089982365773	0 10 40 70 84 150 160 168 220 228 238 304 318 348 378 388	956991975974