Prime p₀= 953299446940564657 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 12 28 60 12 18 2 4 2 18 12 60 28 12 24 (?)
a_n: 0 24 36 64 124 136 154 156 160 162 180 192 252 280 292 316
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: 316
Found by: Theadalus
db: batch=76, k=16, 24 12 28 60 12 18 2 4

SPT(16)	953298344269115797	0 12 24 42 60 120 124 130 144 150 154 214 232 250 262 274	-1102671448860
STPT(10)	953298424163805659	0 2 18 20 30 32 42 44 60 62	-1022776758998
STPT(10)	953298523187798141	0 2 6 8 48 50 90 92 96 98	-923752766516
STPT(10)	953298613365189989	0 2 18 20 30 32 42 44 60 62	-833575374668
SPT(16)	953298778307682943	0 66 70 78 90 100 108 136 138 166 174 184 196 204 208 274	-668632881714
SPT(16)	953299131533092109	0 38 42 50 84 128 174 192 320 338 384 428 462 470 474 512	-315407472548
STPT(10)	953299634471067881	0 2 6 8 48 50 90 92 96 98	187530503224
SPT(16)	953299707201919867	0 6 72 82 96 126 130 154 312 336 340 370 384 394 460 466	260261355210
SPT(16)	953299757751296509	0 12 30 42 54 100 102 144 178 220 222 268 280 292 310 322	310810731852
STPT(10)	953299980051091637	0 2 30 32 42 44 54 56 84 86	533110526980
SPT(16)	953300152695402703	0 66 90 100 130 184 210 214 240 244 270 324 354 364 388 454	705754838046