Prime p₀= 2119404132401463959 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Time_Traveler
db: batch=80, k=10, 2 16 2 10 2

SPT(18)	2119402803043116169	0 52 54 78 108 138 154 172 174 208 210 228 244 274 304 328 330 382	-1329358347790
SPT(16)	2119403259137523757	0 12 100 112 124 126 144 222 244 322 340 342 354 366 454 466	-873263940202
STPT(10)	2119403797644708737	0 2 30 32 42 44 54 56 84 86	-334756755222
STPT(10)	2119403881386179291	0 2 36 38 78 80 120 122 156 158	-251015284668
SPT(16)	2119403981746863457	0 42 52 60 126 136 144 150 196 202 210 220 286 294 304 346	-150654600502
SPT(16)	2119404042945783439	0 60 108 112 114 118 138 172 180 214 234 238 240 244 292 352	-89455680520
STPT(10)	2119404344781392477	0 2 12 14 72 74 132 134 144 146	212379928518
STPT(10)	2119404429450737237	0 2 54 56 72 74 90 92 144 146	297049273278
TPT(14)	2119404580393298171	0 2 78 80 180 182 276 278 336 338 348 350 360 362	447991834212
STPT(10)	2119405298964699197	0 2 84 86 132 134 180 182 264 266	1166563235238
SPT(16)	2119405403414126389	0 4 22 34 60 94 102 118 144 160 168 202 228 240 258 262	1271012662430