Prime p₀= 767991622768378427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Donn Pike (USAF Ret)
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	767988185232982199	0 2 48 50 90 92 132 134 180 182	-3437535396228
STPT(10)	767988613279867151	0 2 30 32 168 170 306 308 336 338	-3009488511276
SPT(16)	767989081002675239	0 32 42 92 114 138 158 162 200 204 224 248 270 320 330 362	-2541765703188
SPT(16)	767989442907536881	0 12 36 48 76 78 118 136 192 210 250 252 280 292 316 328	-2179860841546
STPT(10)	767989753136475521	0 2 36 38 78 80 120 122 156 158	-1869631902906
STPT(10)	767991130393157717	0 2 54 56 72 74 90 92 144 146	-492375220710
SPT(16)	767991688509743377	0 10 30 42 82 94 114 136 210 232 252 264 304 316 336 346	65741364950
SPT(16)	767991990015952697	0 14 30 66 90 92 114 134 162 182 204 206 230 266 282 296	367247574270
STPT(10)	767992260854499227	0 2 30 32 42 44 54 56 84 86	638086120800
TPT(14)	767993273390435579	0 2 12 14 60 62 90 92 102 104 210 212 240 242	1650622057152
SPT(16)	767993552588348371	0 22 36 88 96 102 112 138 220 246 256 262 270 322 336 358	1929819969944