Prime p₀= 3027598911619312757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: eclipse99
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3027595577950627759	0 10 34 52 82 102 144 168 214 238 280 300 330 348 372 382	-3333668684998
SPT(16)	3027596403807277597	0 42 52 66 114 126 150 166 180 196 220 232 280 294 304 346	-2507812035160
SPT(16)	3027597140226660311	0 6 8 18 30 48 102 120 308 326 380 398 410 420 422 428	-1771392652446
STPT(10)	3027597475531402691	0 2 30 32 78 80 126 128 156 158	-1436087910066
TPT(14)	3027597540983761091	0 2 36 38 66 68 78 80 90 92 108 110 126 128	-1370635551666
SPT(16)	3027597555969650621	0 2 38 68 90 128 132 140 198 206 210 248 270 300 336 338	-1355649662136
SPT(16)	3027599226029036171	0 6 18 30 32 50 66 102 146 182 198 216 218 230 242 248	314409723414
STPT(10)	3027599254495872137	0 2 42 44 72 74 102 104 144 146	342876559380
SPT(16)	3027599471921711321	0 38 42 96 110 162 180 182 186 188 206 258 272 326 330 368	560302398564
STPT(10)	3027599535191669981	0 2 6 8 48 50 90 92 96 98	623572357224
STPT(10)	3027599800928045027	0 2 24 26 42 44 60 62 84 86	889308732270