Prime p₀= 2123494716471465431 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 4 24 20 96 36 24 10 24 36 96 20 24 4 2 (?)
a_n: 0 2 6 30 50 146 182 206 216 240 276 372 392 416 420 422
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: Chooka
db: batch=80, k=16, 2 4 24 20 96 36 24 10

SPT(16)	2123493602497098133	0 54 58 78 96 150 180 250 264 334 364 418 436 456 460 514	-1113974367298
SPT(16)	2123493608336397673	0 6 10 36 46 76 88 90 124 126 138 168 178 204 208 214	-1108135067758
STPT(10)	2123493738206889791	0 2 78 80 138 140 198 200 276 278	-978264575640
TPT(14)	2123493831180267437	0 2 90 92 150 152 192 194 204 206 222 224 234 236	-885291197994
STPT(10)	2123494391094327929	0 2 18 20 30 32 42 44 60 62	-325377137502
STPT(10)	2123494495837885991	0 2 6 8 18 20 30 32 36 38	-220633579440
SPT(16)	2123495209270363387	0 40 42 64 90 106 114 142 144 172 180 196 222 244 246 286	492798897956
SPT(16)	2123495627183038373	0 6 26 30 90 96 104 116 348 360 368 374 434 438 458 464	910711572942
SPT(16)	2123495645383146247	0 6 10 16 42 66 120 156 160 196 250 274 300 306 310 316	928911680816
STPT(10)	2123495966372104139	0 2 12 14 30 32 48 50 60 62	1249900638708
STPT(10)	2123496072475263257	0 2 72 74 102 104 132 134 204 206	1356003797826