Prime p₀= 4404368002582494311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: Conan
db: batch=85, k=10, 2 64 2 70 2

SPT(16)	4404365812748993863	0 24 28 30 48 100 118 148 156 186 204 256 274 276 280 304	-2189833500448
STPT(10)	4404366082898621891	0 2 6 8 18 20 30 32 36 38	-1919683872420
STPT(10)	4404366244987694309	0 2 18 20 60 62 102 104 120 122	-1757594800002
STPT(10)	4404366862715975717	0 2 42 44 72 74 102 104 144 146	-1139866518594
SPT(16)	4404367094153688989	0 48 60 68 78 84 98 110 132 144 158 164 174 182 194 242	-908428805322
SPT(16)	4404367176005862943	0 10 64 66 108 120 126 216 238 328 334 346 388 390 444 454	-826576631368
STPT(10)	4404368636591039717	0 2 42 44 72 74 102 104 144 146	634008545406
SPT(16)	4404369083239171499	0 32 50 60 84 98 110 138 224 252 264 278 302 312 330 362	1080656677188
STPT(12)	4404369556086867581	0 2 30 32 60 62 156 158 186 188 216 218	1553504373270
SPT(16)	4404369764931021881	0 140 186 198 206 228 240 260 318 338 350 372 380 392 438 578	1762348527570
SPT(16)	4404370101561138547	0 10 46 54 60 72 82 100 126 144 154 166 172 180 216 226	2098978644236