Prime p₀= 3015768221472349543 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 40 24 84 2 24 30 34 30 24 2 84 24 40 6 (?)
a_n: 0 6 46 70 154 156 180 210 244 274 298 300 384 408 448 454
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: 454
Found by: Orange Kid
db: batch=82, k=16, 6 40 24 84 2 24 30 34

SPT(16)	3015767368189514903	0 26 44 56 74 96 98 104 150 156 158 180 198 210 228 254	-853282834640
STPT(12)	3015767855443337381	0 2 36 38 60 62 186 188 210 212 246 248	-366029012162
SPT(16)	3015767944919333077	0 12 22 60 66 94 112 126 130 144 162 190 196 234 244 256	-276553016466
SPT(16)	3015768067984988861	0 20 30 42 48 56 86 90 98 102 132 140 146 158 168 188	-153487360682
SPT(16)	3015768140475422807	0 12 26 54 62 114 126 140 186 200 212 264 272 300 314 326	-80996926736
SPT(16)	3015768179425450571	0 6 20 38 42 66 126 128 150 152 212 236 240 258 272 278	-42046898972
SPT(16)	3015768355997584619	0 20 24 68 84 108 122 210 332 420 434 458 474 518 522 542	134525235076
SPT(16)	3015768454538013331	0 6 10 28 58 70 72 82 126 136 138 150 180 198 202 208	233065663788
SPT(16)	3015768897350273437	0 46 120 126 252 300 324 360 406 442 466 514 640 646 720 766	675877923894
SPT(16)	3015769277260850497	0 10 52 70 72 126 142 202 210 270 286 340 342 360 402 412	1055788500954
TPT(14)	3015769459962894527	0 2 72 74 90 92 252 254 270 272 312 314 354 356	1238490544984