Prime p₀= 2746291183228884623 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 40 2 22 8 36 16 14 16 36 8 22 2 40 26 (?)
a_n: 0 26 66 68 90 98 134 150 164 180 216 224 246 248 288 314
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: 314
Found by: JayPi
db: batch=82, k=16, 26 40 2 22 8 36 16 14

SPT(16)	2746287777855853943	0 24 38 54 56 98 110 134 150 174 186 228 230 246 260 284	-3405373030680
SPT(16)	2746288215053770091	0 20 48 56 90 110 116 168 248 300 306 326 360 368 396 416	-2968175114532
STPT(10)	2746289482692242087	0 2 30 32 42 44 54 56 84 86	-1700536642536
SPT(16)	2746290119414157263	0 104 146 168 194 224 236 260 384 408 420 450 476 498 540 644	-1063814727360
SPT(16)	2746290458668548767	0 24 56 114 120 122 180 192 224 236 294 296 302 360 392 416	-724560335856
STPT(10)	2746290845382023057	0 2 30 32 42 44 54 56 84 86	-337846861566
SPT(16)	2746291359682468319	0 8 42 144 170 182 210 270 302 362 390 402 428 530 564 572	176453583696
SPT(16)	2746292213196300479	0 14 18 50 72 98 104 128 144 168 174 200 222 254 258 272	1029967415856
SPT(16)	2746292235553453507	0 4 6 34 42 90 120 130 156 166 196 244 252 280 282 286	1052324568884
SPT(16)	2746292242612947053	0 68 120 156 168 174 176 180 254 258 260 266 278 314 366 434	1059384062430
SPT(16)	2746292456538107809	0 22 34 40 48 70 124 132 190 198 252 274 282 288 300 322	1273309223186