Prime p₀= 1127359074933280457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: crashtech
db: batch=76, k=10, 2 28 2 40 2

SPT(16)	1127358261298718681	0 12 18 56 86 96 122 126 152 156 182 192 222 260 266 278	-813634561776
SPT(16)	1127358324807030931	0 60 88 90 96 108 118 150 286 318 328 340 346 348 376 436	-750126249526
SPT(16)	1127358332685447197	0 14 20 32 74 126 152 156 170 174 200 252 294 306 312 326	-742247833260
SPT(16)	1127358376458849833	0 48 56 74 78 90 126 156 158 188 224 236 240 258 266 314	-698474430624
SPT(16)	1127358428760474577	0 42 112 144 160 172 174 186 310 322 324 336 352 384 454 496	-646172805880
TPT(14)	1127358553779893117	0 2 12 14 60 62 72 74 114 116 282 284 300 302	-521153387340
SPT(16)	1127359478427955327	0 16 70 136 162 190 252 280 282 310 372 400 426 492 546 562	403494674870
SPT(16)	1127360148052359119	0 8 20 42 72 84 98 138 164 204 218 230 260 282 294 302	1073119078662
STPT(10)	1127360181220718087	0 2 24 26 42 44 60 62 84 86	1106287437630
STPT(12)	1127360466259586927	0 2 30 32 42 44 90 92 102 104 132 134	1391326306470
STPT(10)	1127360777917654739	0 2 18 20 30 32 42 44 60 62	1702984374282