Prime p₀= 3096788300609691377 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: JayPi
db: batch=83, k=10, 2 28 2 10 2

SPT(16)	3096785970535993591	0 10 18 72 88 118 120 192 196 268 270 300 316 370 378 388	-2330073697786
STPT(10)	3096786001044905579	0 2 12 14 90 92 168 170 180 182	-2299564785798
SPT(16)	3096786766133560963	0 24 78 88 94 106 136 154 180 198 228 240 246 256 310 334	-1534476130414
SPT(16)	3096786807642220061	0 20 42 110 116 158 230 252 326 348 420 462 468 536 558 578	-1492967471316
STPT(10)	3096787141588028417	0 2 42 44 72 74 102 104 144 146	-1159021662960
STPT(10)	3096788215406016959	0 2 18 20 60 62 102 104 120 122	-85203674418
STPT(10)	3096788363854944917	0 2 30 32 72 74 114 116 144 146	63245253540
STPT(10)	3096788477597859659	0 2 18 20 30 32 42 44 60 62	176988168282
TPT(18)	3096788644679968877	0 2 60 62 72 74 90 92 114 116 300 302 324 326 342 344 354 356	344070277500
SPT(16)	3096788644679968937	0 2 12 14 30 32 54 56 240 242 264 266 282 284 294 296	344070277560
STPT(16)	3096788644679968937	0 2 12 14 30 32 54 56 240 242 264 266 282 284 294 296	344070277560