Prime p₀= 2101628813036591369 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 4 18 24 54 14 18 22 18 14 54 24 18 4 68 (?)
a_n: 0 68 72 90 114 168 182 200 222 240 254 308 332 350 354 422
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: 422
Found by: Landjunge
db: batch=80, k=16, 68 4 18 24 54 14 18 22

SPT(16)	2101627058802872647	0 12 34 46 90 102 112 124 132 144 154 166 210 222 244 256	-1754233718722
SPT(16)	2101627166929372573	0 10 24 64 84 108 126 148 156 178 196 220 240 280 294 304	-1646107218796
STPT(10)	2101627425613151879	0 2 18 20 60 62 102 104 120 122	-1387423439490
SPT(16)	2101628110771258079	0 38 164 180 182 212 218 248 294 324 330 360 362 378 504 542	-702265333290
STPT(10)	2101628482310517989	0 2 12 14 90 92 168 170 180 182	-330726073380
SPT(16)	2101628606258621551	0 70 72 90 100 102 112 126 202 216 226 228 238 256 258 328	-206777969818
SPT(16)	2101628826341275067	0 12 20 44 72 146 152 162 194 204 210 284 312 336 344 356	13304683698
SPT(16)	2101628979544143923	0 20 54 90 126 156 170 200 210 240 254 284 320 356 390 410	166507552554
STPT(10)	2101629025251945359	0 2 18 20 30 32 42 44 60 62	212215353990
STPT(10)	2101629136353732521	0 2 6 8 48 50 90 92 96 98	323317141152
SPT(16)	2101629496600255201	0 66 88 100 130 132 142 156 172 186 196 198 228 240 262 328	683563663832