Prime p₀= 2308956991305667187 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 36 114 20 70 24 80 22 80 24 70 20 114 36 6 (?)
a_n: 0 6 42 156 176 246 270 350 372 452 476 546 566 680 716 722
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 722
Found by: Landjunge
db: batch=81, k=16, 6 36 114 20 70 24 80 22

TPT(14)	2308956224401426679	0 2 60 62 132 134 198 200 228 230 288 290 300 302	-766904240508
SPT(16)	2308956350972670167	0 44 54 62 66 84 86 96 140 150 152 170 174 182 192 236	-640332997020
SPT(16)	2308956504871143221	0 8 72 78 80 92 122 128 132 138 168 180 182 188 252 260	-486434523966
STPT(10)	2308956534013983911	0 2 36 38 78 80 120 122 156 158	-457291683276
SPT(16)	2308956688929254921	0 50 62 78 96 116 120 140 258 278 282 302 320 336 348 398	-302376412266
SPT(16)	2308956744602932423	0 10 24 28 48 54 58 94 114 150 154 160 180 184 198 208	-246702734764
SPT(16)	2308957388442478349	0 2 24 42 44 80 140 218 234 312 372 408 410 428 450 452	397136811162
SPT(16)	2308957703092663589	0 2 24 80 114 198 222 228 344 350 374 458 492 548 570 572	711786996402
SPT(16)	2308958432433688151	0 8 18 48 72 78 176 186 242 252 350 356 380 410 420 428	1441128020964
SPT(16)	2308958469583836337	0 12 42 66 100 112 120 142 234 256 264 276 310 334 364 376	1478278169150
STPT(10)	2308958533819361519	0 2 18 20 30 32 42 44 60 62	1542513694332