Prime p₀= 1117957673920112321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Rhodan71
db: batch=76, k=10, 2 4 2 10 2

STPT(10)	1117956310603640447	0 2 30 32 60 62 90 92 120 122	-1363316471874
SPT(16)	1117956583558673791	0 18 28 30 60 66 108 126 130 148 190 196 226 228 238 256	-1090361438530
SPT(16)	1117956681403874009	0 42 74 90 140 168 192 218 234 260 284 312 362 378 410 452	-992516238312
STPT(10)	1117956880150719797	0 2 24 26 42 44 60 62 84 86	-793769392524
SPT(16)	1117956920352672079	0 64 70 88 108 154 172 184 198 210 228 274 294 312 318 382	-753567440242
SPT(16)	1117957493713881713	0 18 26 48 60 116 126 146 168 188 198 254 266 288 296 314	-180206230608
SPT(16)	1117957828930325687	0 2 12 20 84 90 134 152 234 252 296 302 366 374 384 386	155010213366
SPT(16)	1117957831804930801	0 12 70 88 132 142 216 222 256 262 336 346 390 408 466 478	157884818480
STPT(10)	1117958489914947377	0 2 30 32 72 74 114 116 144 146	815994835056
SPT(16)	1117958525839604689	0 22 84 100 114 132 142 162 190 210 220 238 252 268 330 352	851919492368
STPT(10)	1117958619187787327	0 2 30 32 42 44 54 56 84 86	945267675006