Prime p₀= 1014137817225989647 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 18 8 150 22 12 26 16 26 12 22 150 8 18 34 (?)
a_n: 0 34 52 60 210 232 244 270 286 312 324 346 496 504 522 556
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: 556
Found by: stoneageman
db: batch=76, k=16, 34 18 8 150 22 12 26 16

SPT(16)	1014136650603031717	0 10 40 102 126 132 144 160 186 202 214 220 244 306 336 346	-1166622957930
SPT(16)	1014136901490895907	0 20 30 36 50 54 62 110 156 204 212 216 230 236 246 266	-915735093740
SPT(16)	1014137315982341693	0 18 24 30 80 114 140 146 168 174 200 234 284 290 296 314	-501243647954
STPT(10)	1014137407169827151	0 2 30 32 78 80 126 128 156 158	-410056162496
SPT(16)	1014137647866203957	0 12 42 56 62 74 96 116 210 230 252 264 270 284 314 326	-169359785690
STPT(10)	1014137751008648081	0 2 6 8 48 50 90 92 96 98	-66217341566
SPT(16)	1014138567095722487	0 30 66 72 110 150 152 174 332 354 356 396 434 440 476 506	749869732840
STPT(10)	1014138632681053727	0 2 12 14 42 44 72 74 84 86	815455064080
SPT(16)	1014138733550155757	0 14 32 66 92 110 146 152 174 180 216 234 260 294 312 326	916324166110
STPT(10)	1014138916583032949	0 2 18 20 60 62 102 104 120 122	1099357043302
SPT(16)	1014138951617915807	0 14 66 74 90 92 126 224 312 410 444 446 462 470 522 536	1134391926160