Prime p₀= 2034974537637377669 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Dingo
db: batch=80, k=10, 2 10 2 76 2

TPT(14)	2034973221038537621	0 2 6 8 30 32 48 50 216 218 228 230 240 242	-1316598840048
STPT(10)	2034973244059256231	0 2 90 92 150 152 210 212 300 302	-1293578121438
STPT(10)	2034973746160580039	0 2 12 14 90 92 168 170 180 182	-791476797630
SPT(16)	2034974307911926949	0 14 18 50 54 68 74 80 138 144 150 164 168 200 204 218	-229725450720
SPT(16)	2034974383137213733	0 4 10 34 90 124 150 178 210 238 264 298 354 378 384 388	-154500163936
SPT(16)	2034974441988072023	0 14 26 60 74 96 110 126 134 150 164 186 200 234 246 260	-95649305646
SPT(16)	2034974579664146479	0 34 58 84 88 94 100 108 220 228 234 240 244 270 294 328	42026768810
STPT(10)	2034974854081792067	0 2 30 32 42 44 54 56 84 86	316444414398
SPT(16)	2034974999858076791	0 6 30 62 72 126 128 138 230 240 242 296 306 338 362 368	462220699122
SPT(16)	2034975230725462387	0 52 84 90 120 154 172 192 274 294 312 346 376 382 414 466	693088084718
TPT(14)	2034975276576351377	0 2 30 32 90 92 102 104 240 242 270 272 294 296	738938973708