Prime p₀= 1016808785065649729 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 16 44 28 56 6 28 8 28 6 56 28 44 16 14 (?)
a_n: 0 14 30 74 102 158 164 192 200 228 234 290 318 362 378 392
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: 392
Found by: MarkRBright
db: batch=76, k=16, 14 16 44 28 56 6 28 8

SPT(16)	1016806719841865629	0 10 24 28 54 70 78 88 144 154 162 178 204 208 222 232	-2065223784100
STPT(10)	1016806996758657101	0 2 6 8 48 50 90 92 96 98	-1788306992628
SPT(16)	1016807159918442379	0 18 28 42 60 100 102 112 120 130 132 172 190 204 214 232	-1625147207350
STPT(10)	1016807350534419797	0 2 90 92 132 134 174 176 264 266	-1434531229932
TPT(14)	1016808027274747817	0 2 30 32 42 44 90 92 102 104 114 116 180 182	-757790901912
SPT(16)	1016808664333296517	0 40 46 82 90 96 160 172 204 216 280 286 294 330 336 376	-120732353212
STPT(12)	1016808973307209139	0 2 12 14 72 74 120 122 180 182 192 194	188241559410
SPT(16)	1016808998138890927	0 22 36 46 54 66 102 106 150 154 190 202 210 220 234 256	213073241198
STPT(10)	1016809257642667121	0 2 6 8 48 50 90 92 96 98	472577017392
TPT(14)	1016809367349163457	0 2 24 26 192 194 240 242 252 254 390 392 420 422	582283513728
SPT(16)	1016809456347786379	0 4 28 40 42 48 84 130 132 178 214 220 222 234 258 262	671282136650