Prime p₀= 2396109793256208707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Coleslaw
db: batch=81, k=10, 2 58 2 10 2

TPT(14)	2396108676266094917	0 2 30 32 72 74 84 86 150 152 204 206 360 362	-1116990113790
SPT(16)	2396108985006917009	0 14 18 60 98 102 114 200 222 308 320 324 362 404 408 422	-808249291698
SPT(16)	2396109014548635469	0 102 124 184 202 222 234 264 298 328 340 360 378 438 460 562	-778707573238
STPT(10)	2396109057004054289	0 2 18 20 30 32 42 44 60 62	-736252154418
SPT(16)	2396109574809450491	0 12 26 36 78 98 116 122 246 252 270 290 332 342 356 368	-218446758216
STPT(10)	2396109739538747777	0 2 30 32 42 44 54 56 84 86	-53717460930
STPT(12)	2396110034395533887	0 2 30 32 54 56 90 92 114 116 144 146	241139325180
SPT(16)	2396110462143465241	0 40 82 102 108 130 150 168 220 238 258 280 286 306 348 388	668887256534
STPT(10)	2396110763037783677	0 2 30 32 72 74 114 116 144 146	969781574970
SPT(16)	2396110885664701883	0 6 44 54 66 86 90 116 138 164 168 188 200 210 248 254	1092408493176
SPT(16)	2396111005567681547	0 6 32 56 60 62 122 134 192 204 264 266 270 294 320 326	1212311472840