Prime p₀= 2972592120408599807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: eclipse99
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2972590769016860021	0 2 30 32 60 62 90 92 120 122	-1351391739786
SPT(16)	2972590775248026479	0 24 68 134 140 158 162 170 192 200 204 222 228 294 338 362	-1345160573328
SPT(16)	2972590813277218037	0 32 36 42 62 72 90 132 170 212 230 240 260 266 270 302	-1307131381770
STPT(10)	2972591338724697377	0 2 30 32 120 122 210 212 240 242	-781683902430
TPT(14)	2972591788132923347	0 2 24 26 144 146 180 182 210 212 252 254 282 284	-332275676460
SPT(16)	2972592071733107237	0 30 42 84 140 144 152 194 252 294 302 306 362 404 416 446	-48675492570
SPT(16)	2972592159076651207	0 4 10 40 84 106 136 144 172 180 210 232 276 306 312 316	38668051400
SPT(16)	2972592492811224463	0 6 10 34 60 78 88 90 124 126 136 154 180 204 208 214	372402624656
STPT(10)	2972592601049957069	0 2 18 20 30 32 42 44 60 62	480641357262
SPT(16)	2972592666301858783	0 30 36 58 66 108 178 196 318 336 406 448 456 478 484 514	545893258976
TPT(14)	2972592710611328339	0 2 12 14 120 122 138 140 150 152 168 170 300 302	590202728532