Prime p₀= 1245756293069712239 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Cruncher Pete
db: batch=77, k=10, 2 10 2 16 2

STPT(10)	1245755038047991451	0 2 36 38 78 80 120 122 156 158	-1255021720788
STPT(10)	1245755199992944181	0 2 30 32 78 80 126 128 156 158	-1093076768058
STPT(10)	1245755449103680811	0 2 6 8 18 20 30 32 36 38	-843966031428
SPT(16)	1245755754306162041	0 8 42 50 92 126 140 192 206 258 272 306 348 356 390 398	-538763550198
STPT(10)	1245755900101303397	0 2 42 44 102 104 162 164 204 206	-392968408842
SPT(16)	1245755963310296693	0 6 48 66 68 78 110 170 216 276 308 318 320 338 380 386	-329759415546
SPT(16)	1245756374697063367	0 36 46 162 186 190 204 250 276 322 336 340 364 480 490 526	81627351128
TPT(14)	1245756621115492817	0 2 90 92 114 116 144 146 300 302 324 326 372 374	328045780578
STPT(12)	1245756806679963869	0 2 30 32 42 44 90 92 102 104 132 134	513610251630
SPT(16)	1245757570131783661	0 12 16 28 36 130 156 208 210 262 288 382 390 402 406 418	1277062071422
SPT(16)	1245757789225452457	0 10 22 42 64 70 100 120 154 174 204 210 232 252 264 274	1496155740218