Prime p₀= 2350321325378375519 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Landjunge
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2350320068169543049	0 4 72 82 88 112 138 172 180 214 240 264 270 280 348 352	-1257208832470
SPT(16)	2350320387973779563	0 18 26 60 90 110 116 138 146 168 174 194 224 258 266 284	-937404595956
SPT(16)	2350320859186331693	0 6 36 48 56 68 96 98 138 140 168 180 188 200 230 236	-466192043826
SPT(16)	2350320955293227453	0 14 54 98 110 144 176 180 224 228 260 294 306 350 390 404	-370085148066
SPT(16)	2350320996064260377	0 2 12 120 126 134 146 174 182 210 222 230 236 344 354 356	-329314115142
STPT(10)	2350321111589976527	0 2 30 32 72 74 114 116 144 146	-213788398992
SPT(16)	2350321352807828233	0 10 36 40 58 78 96 106 198 208 226 246 264 268 294 304	27429452714
SPT(16)	2350321404559178399	0 20 30 84 90 98 114 144 194 224 240 248 254 308 318 338	79180802880
TPT(14)	2350322142035120549	0 2 18 20 30 32 60 62 90 92 102 104 132 134	816656745030
STPT(10)	2350322142035120567	0 2 12 14 42 44 72 74 84 86	816656745048
STPT(10)	2350322166664247549	0 2 48 50 90 92 132 134 180 182	841285872030