Prime p₀= 749367457171093097 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: [SG]steini
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	749366849501078129	0 32 72 80 122 158 170 188 192 210 222 258 300 308 348 380	-607670014968
STPT(10)	749366932464781451	0 2 6 8 18 20 30 32 36 38	-524706311646
SPT(16)	749366960295634397	0 6 30 44 66 122 162 164 222 224 264 320 342 356 380 386	-496875458700
STPT(10)	749367118233633869	0 2 12 14 30 32 48 50 60 62	-338937459228
SPT(16)	749367256681575673	0 4 100 114 124 130 138 190 204 256 264 270 280 294 390 394	-200489517424
SPT(13)	749367348744780329	0 12 18 48 168 180 240 300 312 432 462 468 480	-108426312768
SPT(16)	749367461746179719	0 14 18 50 80 98 102 134 198 230 234 252 282 314 318 332	4575086622
STPT(10)	749367959117046947	0 2 30 32 42 44 54 56 84 86	501945953850
SPT(16)	749367966127907803	0 34 48 70 84 130 138 154 180 196 204 250 264 286 300 334	508956814706
TPT(14)	749368129068548411	0 2 36 38 48 50 78 80 186 188 198 200 210 212	671897455314
STPT(10)	749368251240745649	0 2 42 44 60 62 78 80 120 122	794069652552