Prime p₀= 117219233564280917 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Alez
db: batch=67, k=10, 2 22 2 16 2

SPT(14)	117219189478911661	0 12 58 60 72 88 100 108 120 136 148 150 196 208	-44085369256
SPT(14)	117219189681829579	0 24 28 42 78 88 94 138 144 154 190 204 208 232	-43882451338
SPT(14)	117219190411390489	0 28 64 94 102 118 120 142 144 160 168 198 234 262	-43152890428
SPT(14)	117219205891014677	0 14 62 92 104 140 192 284 336 372 384 414 462 476	-27673266240
SPT(14)	117219221706309847	0 12 64 70 94 112 126 160 174 192 216 222 274 286	-11857971070
SPT(14)	117219232619780383	0 46 60 70 138 148 156 178 186 196 264 274 288 334	-944500534
SPT(14)	117219243052613413	0 10 24 28 40 88 148 150 210 258 270 274 288 298	9488332496
TPT(12)	117219260635865747	0 2 72 74 144 146 162 164 240 242 270 272	27071584830
SPT(14)	117219266387356381	0 6 10 66 70 72 112 120 160 162 166 222 226 232	32823075464
SPT(14)	117219279515703311	0 18 30 50 62 78 92 198 212 228 240 260 272 290	45951422394
SPT(14)	117219282297219979	0 10 34 42 108 114 142 210 238 244 310 318 342 352	48732939062