Prime p₀= 1311206383029996511 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 66 22 14 28 12 50 76 20 22 20 76 50 12 28 14 22 66 (?)
a_n: 0 66 88 102 130 142 192 268 288 310 330 406 456 468 496 510 532 598
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 598
Found by: HenkM
db: batch=77, k=18, 66 22 14 28 12 50 76 20 22

TPT(14)	1311205234275983399	0 2 78 80 138 140 150 152 222 224 288 290 300 302	-1148754013112
SPT(16)	1311205275234792719	0 12 14 42 78 108 110 234 278 402 404 434 470 498 500 512	-1107795203792
SPT(16)	1311205623342618593	0 18 36 44 56 74 104 168 176 240 270 288 300 308 326 344	-759687377918
STPT(10)	1311205704613783577	0 2 30 32 42 44 54 56 84 86	-678416212934
STPT(10)	1311205788212353127	0 2 54 56 132 134 210 212 264 266	-594817643384
STPT(10)	1311206113262089139	0 2 18 20 30 32 42 44 60 62	-269767907372
SPT(16)	1311206383075990337	0 2 56 66 80 114 164 170 186 192 242 276 290 300 354 356	45993826
SPT(16)	1311206526410525447	0 24 42 96 104 126 140 152 204 216 230 252 260 314 332 356	143380528936
STPT(10)	1311207374459233871	0 2 6 8 48 50 90 92 96 98	991429237360
SPT(16)	1311207740533654861	0 42 76 108 126 160 192 216 232 256 288 322 340 372 406 448	1357503658350
STPT(10)	1311207748977557267	0 2 42 44 72 74 102 104 144 146	1365947560756