Prime p₀= 1245501796337122967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1245500675591786321	0 2 36 38 78 80 120 122 156 158	-1120745336646
SPT(16)	1245500695300191607	0 34 60 96 106 132 166 186 190 210 244 270 280 316 342 376	-1101036931360
SPT(16)	1245500728711468661	0 60 78 168 182 248 252 288 290 326 330 396 410 500 518 578	-1067625654306
STPT(10)	1245501040841520887	0 2 54 56 72 74 90 92 144 146	-755495602080
STPT(10)	1245501245812675739	0 2 18 20 30 32 42 44 60 62	-550524447228
SPT(16)	1245501699483899491	0 30 40 82 112 118 142 148 222 228 252 258 288 330 340 370	-96853223476
TPT(14)	1245501933949747337	0 2 12 14 120 122 264 266 294 296 342 344 360 362	137612624370
STPT(10)	1245501959974879331	0 2 6 8 48 50 90 92 96 98	163637756364
SPT(16)	1245503486562186143	0 14 24 26 116 138 210 216 278 284 356 378 468 470 480 494	1690225063176
SPT(16)	1245503578915994617	0 24 42 46 66 84 130 172 294 336 382 400 420 424 442 466	1782578871650
SPT(16)	1245503797711911253	0 10 28 54 120 130 196 208 216 228 294 304 370 396 414 424	2001374788286