Prime p₀= 2916746851143533909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Landjunge
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2916745862420890523	0 20 24 56 74 104 108 144 170 206 210 240 258 290 294 314	-988722643386
STPT(10)	2916745878587069831	0 2 30 32 78 80 126 128 156 158	-972556464078
SPT(16)	2916746011495115209	0 48 60 64 72 114 124 142 270 288 298 340 348 352 364 412	-839648418700
SPT(16)	2916746028618302653	0 16 34 54 58 76 100 126 148 174 198 216 220 240 258 274	-822525231256
SPT(16)	2916746462121664891	0 12 60 82 90 112 136 138 250 252 276 298 306 328 376 388	-389021869018
STPT(10)	2916746785092335477	0 2 42 44 72 74 102 104 144 146	-66051198432
STPT(10)	2916747486029471189	0 2 18 20 30 32 42 44 60 62	634885937280
TPT(14)	2916747612002382407	0 2 60 62 72 74 84 86 132 134 144 146 174 176	760858848498
STPT(10)	2916747647277050201	0 2 96 98 168 170 240 242 336 338	796133516292
STPT(10)	2916747871631493671	0 2 30 32 78 80 126 128 156 158	1020487959762
STPT(10)	2916748022088981929	0 2 30 32 60 62 90 92 120 122	1170945448020