Prime p₀= 997882145714125457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: HenkM
db: batch=76, k=10, 2 28 2 28 2

STPT(10)	997881423118516301	0 2 30 32 78 80 126 128 156 158	-722595609156
STPT(10)	997881544844548121	0 2 6 8 18 20 30 32 36 38	-600869577336
STPT(10)	997881832072413227	0 2 30 32 60 62 90 92 120 122	-313641712230
SPT(16)	997881904802394193	0 58 114 126 178 208 228 240 334 346 366 396 448 460 516 574	-240911731264
SPT(16)	997881950749710161	0 32 42 50 80 90 102 120 170 188 200 210 240 248 258 290	-194964415296
SPT(16)	997882137511804817	0 12 84 150 152 180 192 194 270 272 284 312 314 380 452 464	-8202320640
STPT(12)	997882459721641577	0 2 12 14 24 26 30 32 42 44 54 56	314007516120
STPT(10)	997883218817957387	0 2 24 26 42 44 60 62 84 86	1073103831930
SPT(16)	997883507560682387	0 30 56 60 86 134 140 156 170 186 192 240 266 270 296 326	1361846556930
SPT(16)	997883560551170999	0 2 12 18 32 44 54 80 102 128 138 150 164 170 180 182	1414837045542
SPT(13)	997883665739844239	0 30 42 54 72 90 132 174 192 210 222 234 264	1520025718782